Question 1

Match the graph with its exponential function. ​​   ​

Accepted Answer

A)  $y = 5 ^ { - x } - 3$ 
B)  $y = - 5 ^ { x } + 3$ 
C)  $y = 5 ^ { x } + 3$ 
D)  $y = 5 ^ { x } - 3$ 
E)  $y = - 5 ^ { x } - 3$ 
A)  $y = 5 ^ { - x } - 3$ 
B)  $y = - 5 ^ { x } + 3$ 
C)  $y = 5 ^ { x } + 3$ 
D)  $y = 5 ^ { x } - 3$ 
E)  $y = - 5 ^ { x } - 3$ C

Question 2

What is the value of the function $f ( x ) = 150 e ^ { 0.4 x }$ at $x = 2.3$ ? Round to 3 decimal places.

Accepted Answer

A) 376.394 
B) 223.774 
C) 18.232 
D) 151.492 
E) 1247.646 
A) 376.394 
B) 223.774 
C) 18.232 
D) 151.492 
E) 1247.646 A

Question 3

Select the graph of the exponential function.​ $$g ( x ) = 6 + e ^ { - x }$$ ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​   D

Question 4

Select the graph of the exponential function.​ $$f ( x ) = 4 ^ { x + 1 } - 6$$ ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 5

Evaluate the function at the indicated value of x.Round your result to three decimal places. ​
Function
Value $h ( x ) = e ^ { - x }$ $x = \frac { 5 } { 8 }$ ​

Accepted Answer

A)  $$8.07$$ 
B)  $0.625$ 
C)  $1.148$ 
D)  $$5.500$$ 
E)  $0.535$ 
A)  $$8.07$$ 
B)  $0.625$ 
C)  $1.148$ 
D)  $$5.500$$ 
E)  $0.535$

Question 6

Use a graphing utility to construct a table of values for the function.Round your answer to three decimal places.​ $$f ( x ) = 3 e ^ { x + 4 }$$ ​

Accepted Answer

A)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & 22.167 & 60.257 & 0 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & - & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & - & & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & - & - & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
A)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & 22.167 & 60.257 & 0 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & - & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & - & & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & - & - & & & \
f ( x ) & 22.167 & 60.257 & 163.792 & 445.239 & 1,210.286 \
\hline
\end{array}$$

Question 7

Use a graphing utility to construct a table of values for the function.Round your answer to three decimal places.​ $f ( x ) = e ^ { 5 x }$ ​

Accepted Answer

A)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & 0.007 & - 1.000 & 148.413 & 22,026.466 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & 0.007 & 1.000 & - 148.413 & 22,026.466 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & 0.007 & 1.000 & 148.413 & 22,026.466 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & - 0.007 & 1.000 & 148.413 & 22,026.466 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & - 0.007 & - 1.000 & - 148.413 & - 22,026.466 \
\hline
\end{array}$$ 
A)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & 0.007 & - 1.000 & 148.413 & 22,026.466 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & 0.007 & 1.000 & - 148.413 & 22,026.466 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & 0.007 & 1.000 & 148.413 & 22,026.466 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & - 0.007 & 1.000 & 148.413 & 22,026.466 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | l | l | l | l | l | l | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 0.000 & - 0.007 & - 1.000 & - 148.413 & - 22,026.466 \
\hline
\end{array}$$

Question 8

Use a graphing utility to construct a table of values for the function.Round your answer to two decimal places.​ $f ( x ) = 3 ^ { - x }$ ​

Accepted Answer

A)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & 3.00 & 1.00 & 3 & - 0.11 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & - 9.00 & 3.00 & 1.00 & 3 & 0.11 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & - 3.00 & 1.00 & 3 & 0.11 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & 3.00 & 1.00 & - 3 & 0.11 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & 3.00 & 1.00 & 3 & 0.11 \
\hline
\end{array}$$ 
A)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & 3.00 & 1.00 & 3 & - 0.11 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & - 9.00 & 3.00 & 1.00 & 3 & 0.11 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & - 3.00 & 1.00 & 3 & 0.11 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & 3.00 & 1.00 & - 3 & 0.11 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 9.00 & 3.00 & 1.00 & 3 & 0.11 \
\hline
\end{array}$$

Question 9

Sketch the graph of the function
​​ $$f ( x ) = 2 ^ { x / 2 }$$ ​

Accepted Answer

The answer of Sketch the graph of the function
​​ \[f...

Question 10

Select the graph of the function.​ $$f ( x ) = 4 e ^ { x + 5 }$$ ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 11

Select the graph of the exponential function.​ $$f ( x ) = 2 ^ { - | x | }$$ ​

Accepted Answer

A) ​   
B) ​ ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​ ​   
C) ​   
D) ​   
E) ​

Question 12

Select the graph of the function.​ $$f ( x ) = 2 ^ { x - 1 }$$ ​

Accepted Answer

A) ​   
B) ​   ​ 
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   ​ 
C) ​   
D) ​   
E) ​

Question 13

Use the One-to-One Property to solve the equation for x.​ $$5 ^ { x + 1 } = 25$$ ​

Accepted Answer

A)  $$x = 5$$ 
B)  $$x = 1$$ 
C)  $$x = 4$$ 
D)  $$x = 2$$ 
E)  $x = 3$ 
A)  $$x = 5$$ 
B)  $$x = 1$$ 
C)  $$x = 4$$ 
D)  $$x = 2$$ 
E)  $x = 3$

Question 14

Use a graphing utility to construct a table of values for the function.Round your answer to two decimal places.​ $$f ( x ) = \left( \frac { 1 } { 5 } \right) ^ { x }$$ ​

Accepted Answer

A)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & 25.00 & - 5.00 & 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 25.00 & 5.00 & - 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & - 25.00 & 5.00 & 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 25.00 & 5.00 & 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 25.00 & 5.00 & 1.00 & - 0.20 & - 0.04 \
\hline
\end{array}$$ 
A)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & 25.00 & - 5.00 & 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 25.00 & 5.00 & - 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline & & & & & \
f ( x ) & - 25.00 & 5.00 & 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 25.00 & 5.00 & 1.00 & 0.20 & 0.04 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | c | c | c | c | c | c | } 
\hline x & - 2 & - 1 & 0 & 1 & 2 \
\hline f ( x ) & 25.00 & 5.00 & 1.00 & - 0.20 & - 0.04 \
\hline
\end{array}$$

Question 15

Find the value of b that would cause the graph of y = bx to look like the graph below.​   ​

Accepted Answer

A)  $b = \frac { 1 } { e ^ { 3 } }$ 
B)  $b = e ^ { 3 }$ 
C)  $b = e$ 
D)  $b = \frac { 1 } { e }$ 
E)  $b = e ^ { 2 }$ 
A)  $b = \frac { 1 } { e ^ { 3 } }$ 
B)  $b = e ^ { 3 }$ 
C)  $b = e$ 
D)  $b = \frac { 1 } { e }$ 
E)  $b = e ^ { 2 }$

Question 16

After t years,the value of a wheelchair conversion van that originally cost $39,000 depreciates so that each year it is worth $\frac { 7 } { 8 }$ of its value for the previous year.Find a model for V(t),the value of the van after t years. ​

Accepted Answer

A)  $V ( t ) = - 39,000 \left( - \frac { 7 } { 8 } \right) ^ { t }$ 
B)  $V ( t ) = 39,000 \left( - \frac { 7 } { 8 } \right) ^ { t }$ 
C)  $V ( t ) = - 39,000 \left( \frac { 7 } { 8 } \right) ^ { t }$ 
D)  $V ( t ) = 39,000 \left( \frac { 7 } { 8 } \right) ^ { t }$ 
E)  $V ( t ) = 39,000 \left( \frac { 7 } { 8 } \right) ^ { - t }$ 
A)  $V ( t ) = - 39,000 \left( - \frac { 7 } { 8 } \right) ^ { t }$ 
B)  $V ( t ) = 39,000 \left( - \frac { 7 } { 8 } \right) ^ { t }$ 
C)  $V ( t ) = - 39,000 \left( \frac { 7 } { 8 } \right) ^ { t }$ 
D)  $V ( t ) = 39,000 \left( \frac { 7 } { 8 } \right) ^ { t }$ 
E)  $V ( t ) = 39,000 \left( \frac { 7 } { 8 } \right) ^ { - t }$

Question 17

Use the One-to-One Property to solve the equation for x.​ $e ^ { 6 x + 5 } = e ^ { 6 }$ ​

Accepted Answer

A)  $x = - \frac { 1 } { 6 }$ 
B)  $x ^ { 2 } = 6$ 
C)  $x = - 6$ 
D)  $x = \frac { 1 } { 6 }$ 
E)  $x = 6$ 
A)  $x = - \frac { 1 } { 6 }$ 
B)  $x ^ { 2 } = 6$ 
C)  $x = - 6$ 
D)  $x = \frac { 1 } { 6 }$ 
E)  $x = 6$

Question 18

Use a graphing utility to determine which graph below is the graph of the function.​ $s ( x ) = 1.1 e ^ { - ( x - 1 ) ^ { 2 } }$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Graph the function using translations.​ $$f ( x ) = e ^ { x + 1 } + 2$$ ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Complete the table to determine the balance A for P dollars invested at rate r for t years and compounded n times per year.​ $P = \$ 1100 ; r = 2 \% ; t = 10 \text { year }$ ​

Accepted Answer

A)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1342.21 & \$ 1,342.87 & \$ 1,343.32 & \$ 1,343.54 & \$ 1,343.54 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1,343.54 & \$ 1,342.87 & \$ 1,343.32 & \$ 1,343.32 & \$ 1,343.54 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1342.21 & \$ 1,340.89 & \$ 1,343.32 & \$ 1,343.32 & \$ 1,343.54 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1342.21 & \$ 1,340.89 & \$ 1,342.87 & \$ 1,343.32 & \$ 1,343.54 & \$ 1,343.54 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1342.21 & \$ 1,342.87 & \$ 1,343.54 & \$ 1,343.32 & \$ 1,343.32 \
\hline
\end{array}$$ 
A)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1342.21 & \$ 1,342.87 & \$ 1,343.32 & \$ 1,343.54 & \$ 1,343.54 \
\hline
\end{array}$$ 
B)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1,343.54 & \$ 1,342.87 & \$ 1,343.32 & \$ 1,343.32 & \$ 1,343.54 \
\hline
\end{array}$$ 
C)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1342.21 & \$ 1,340.89 & \$ 1,343.32 & \$ 1,343.32 & \$ 1,343.54 \
\hline
\end{array}$$ 
D)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1342.21 & \$ 1,340.89 & \$ 1,342.87 & \$ 1,343.32 & \$ 1,343.54 & \$ 1,343.54 \
\hline
\end{array}$$ 
E)  $$\begin{array} { | l | l | l | l | l | l | l | } 
\hline n & 1 & 2 & 4 & 12 & 365 & \text { continuous } \
\hline A & \$ 1,340.89 & \$ 1342.21 & \$ 1,342.87 & \$ 1,343.54 & \$ 1,343.32 & \$ 1,343.32 \
\hline
\end{array}$$

Exam 18: Exponential Functions and Their Graphs

Match the graph with its exponential function. ​​ ​

What is the value of the function f(x)=150e0.4xf ( x ) = 150 e ^ { 0.4 x }f(x)=150e0.4x at x=2.3x = 2.3x=2.3 ? Round to 3 decimal places.

Select the graph of the exponential function.​ g(x)=6+e−xg ( x ) = 6 + e ^ { - x }g(x)=6+e−x ​

Select the graph of the exponential function.​ f(x)=4x+1−6f ( x ) = 4 ^ { x + 1 } - 6f(x)=4x+1−6 ​

Evaluate the function at the indicated value of x.Round your result to three decimal places. ​ Function Value h(x)=e−xh ( x ) = e ^ { - x }h(x)=e−x x=58x = \frac { 5 } { 8 }x=85​ ​

Use a graphing utility to construct a table of values for the function.Round your answer to three decimal places.​ f(x)=3ex+4f ( x ) = 3 e ^ { x + 4 }f(x)=3ex+4 ​

Use a graphing utility to construct a table of values for the function.Round your answer to three decimal places.​ f(x)=e5xf ( x ) = e ^ { 5 x }f(x)=e5x ​

Use a graphing utility to construct a table of values for the function.Round your answer to two decimal places.​ f(x)=3−xf ( x ) = 3 ^ { - x }f(x)=3−x ​

Sketch the graph of the function ​​ f(x)=2x/2f ( x ) = 2 ^ { x / 2 }f(x)=2x/2 ​

Select the graph of the function.​ f(x)=4ex+5f ( x ) = 4 e ^ { x + 5 }f(x)=4ex+5 ​

Select the graph of the exponential function.​ f(x)=2−∣x∣f ( x ) = 2 ^ { - | x | }f(x)=2−∣x∣ ​

Select the graph of the function.​ f(x)=2x−1f ( x ) = 2 ^ { x - 1 }f(x)=2x−1 ​

Use the One-to-One Property to solve the equation for x.​ 5x+1=255 ^ { x + 1 } = 255x+1=25 ​

Use a graphing utility to construct a table of values for the function.Round your answer to two decimal places.​ f(x)=(15)xf ( x ) = \left( \frac { 1 } { 5 } \right) ^ { x }f(x)=(51​)x ​

Find the value of b that would cause the graph of y = bx to look like the graph below.​ ​

After t years,the value of a wheelchair conversion van that originally cost $39,000 depreciates so that each year it is worth 78\frac { 7 } { 8 }87​ of its value for the previous year.Find a model for V(t),the value of the van after t years. ​

Use the One-to-One Property to solve the equation for x.​ e6x+5=e6e ^ { 6 x + 5 } = e ^ { 6 }e6x+5=e6 ​

Use a graphing utility to determine which graph below is the graph of the function.​ s(x)=1.1e−(x−1)2s ( x ) = 1.1 e ^ { - ( x - 1 ) ^ { 2 } }s(x)=1.1e−(x−1)2

Graph the function using translations.​ f(x)=ex+1+2f ( x ) = e ^ { x + 1 } + 2f(x)=ex+1+2 ​

Complete the table to determine the balance A for P dollars invested at rate r for t years and compounded n times per year.​ P=$1100;r=2%;t=10 year P = \$ 1100 ; r = 2 \% ; t = 10 \text { year }P=$1100;r=2%;t=10 year ​

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Match the graph with its exponential function.

What is the value of the function $f ( x ) = 150 e ^ { 0.4 x }$ at $x = 2.3$ ? Round to 3 decimal places.

Select the graph of the exponential function. $g ( x ) = 6 + e ^ { - x }$

Select the graph of the exponential function. $f ( x ) = 4 ^ { x + 1 } - 6$

Evaluate the function at the indicated value of x.Round your result to three decimal places. Function Value $h ( x ) = e ^ { - x }$ $x = \frac { 5 } { 8 }$

Use a graphing utility to construct a table of values for the function.Round your answer to three decimal places. $f ( x ) = 3 e ^ { x + 4 }$

Use a graphing utility to construct a table of values for the function.Round your answer to three decimal places. $f ( x ) = e ^ { 5 x }$

Use a graphing utility to construct a table of values for the function.Round your answer to two decimal places. $f ( x ) = 3 ^ { - x }$

Sketch the graph of the function $f ( x ) = 2 ^ { x / 2 }$ $Sketch the graph of the function f ( x ) = 2 ^ { x / 2 } $

Select the graph of the function. $f ( x ) = 4 e ^ { x + 5 }$

Select the graph of the exponential function. $f ( x ) = 2 ^ { - | x | }$

Select the graph of the function. $f ( x ) = 2 ^ { x - 1 }$

Use the One-to-One Property to solve the equation for x. $5 ^ { x + 1 } = 25$

Use a graphing utility to construct a table of values for the function.Round your answer to two decimal places. $f ( x ) = \left( \frac { 1 } { 5 } \right) ^ { x }$

Find the value of b that would cause the graph of y = b^x to look like the graph below.

After t years,the value of a wheelchair conversion van that originally cost $39,000 depreciates so that each year it is worth $\frac { 7 } { 8 }$ of its value for the previous year.Find a model for V(t),the value of the van after t years.

Use the One-to-One Property to solve the equation for x. $e ^ { 6 x + 5 } = e ^ { 6 }$

Use a graphing utility to determine which graph below is the graph of the function. $s ( x ) = 1.1 e ^ { - ( x - 1 ) ^ { 2 } }$

Graph the function using translations. $f ( x ) = e ^ { x + 1 } + 2$

Complete the table to determine the balance A for P dollars invested at rate r for t years and compounded n times per year. $P = \$ 1100 ; r = 2 \% ; t = 10 \text { year }$