Question 1

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line.   $y + 4 = 0$

Accepted Answer

A)     m = 0y-intercept: (0,4) 
B)     m = 0y-intercept: (0,-4) 
C)     m is undefined.There is no y-intercept. 
D)     m = 0y-intercept: (0,-4) 
E)     m = 0There is no y-intercept. 
A)     m = 0y-intercept: (0,4) 
B)     m = 0y-intercept: (0,-4) 
C)     m is undefined.There is no y-intercept. 
D)     m = 0y-intercept: (0,-4) 
E)     m = 0There is no y-intercept.

Question 2

Select the correct graph of the given function. 
 $f ( x ) = | x + 3 |$

Accepted Answer

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

Question 3

The cost of sending an overnight package from Los Angeles to Miami is $26.30 for a package weighing up to but not including 1 pound and $4.00 for each additional pound or portion of a pound.A model for the total cost C (in dollars) of sending the package is ​
С = 26.30 + 4.00[[x]], x > 0, where x is the weight in pounds.
​
Select the graph of the model.
​

Accepted Answer

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

Question 4

Select the correct graph, showing f and g are inverse functions.   $f ( x ) = 9 x , g ( x ) = \frac { x } { 9 }$

Accepted Answer

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

Question 5

Select the correct graph of the given function. 
 $f ( x ) = \frac { 1 } { x - 4 }$

Accepted Answer

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

Question 6

Select the graph of the function f(x) =   3[[x]]. ​

Accepted Answer

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

Question 7

Find the x- and y-intercepts of the graph of the equation $y = \sqrt { - 8 x - 7 }$ .

Accepted Answer

A)  x-intercept: $\left( - \frac { 8 } { 7 } , 0 \right)$ y-intercept: none 
B)  x-intercept: $\left( - \frac { 7 } { 8 } , 0 \right)$ y-intercept: $( 0 , - 7 )$ 
C)  x-intercept: $( 7,0 )$ y-intercept: none 
D)  x-intercept: $( - 8,0 )$ y-intercept: $( 0,7 )$ 
E)  x-intercept: $\left( - \frac { 7 } { 8 } , 0 \right)$ y-intercept: none 
A)  x-intercept: $\left( - \frac { 8 } { 7 } , 0 \right)$ y-intercept: none 
B)  x-intercept: $\left( - \frac { 7 } { 8 } , 0 \right)$ y-intercept: $( 0 , - 7 )$ 
C)  x-intercept: $( 7,0 )$ y-intercept: none 
D)  x-intercept: $( - 8,0 )$ y-intercept: $( 0,7 )$ 
E)  x-intercept: $\left( - \frac { 7 } { 8 } , 0 \right)$ y-intercept: none

Question 8

Select the correct graph of the given function. 
 $f ( x ) = 5 x ^ { 2 } - 1$

Accepted Answer

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

Question 9

Evaluate f(0) if $f ( x ) = \left\{ \begin{array} { l l } 
9 x + 6 , & x < 0 \
9 x + 9 , & x \geq 0
\end{array} \right.$ .

Accepted Answer

A) f(0) = -9 
B) f(0) = 6 
C) f(0) = 9 
D) f(0) = -6 
E) f(0) = 0 
A) f(0) = -9 
B) f(0) = 6 
C) f(0) = 9 
D) f(0) = -6 
E) f(0) = 0

Question 10

Find the x- and y-intercepts of the graph of the equation y = 36 - 6x.

Accepted Answer

A) x-intercept: (6, 0)y-intercept: (0, -6) 
B) x-intercept: (36, 0)y-intercept: (0, 6) 
C) x-intercept: (-6, 0)y-intercept: (0, -36) 
D) x-intercept: (36, 0)y-intercept: (0, 36) 
E) x-intercept: (6, 0)y-intercept: (0, 36) 
A) x-intercept: (6, 0)y-intercept: (0, -6) 
B) x-intercept: (36, 0)y-intercept: (0, 6) 
C) x-intercept: (-6, 0)y-intercept: (0, -36) 
D) x-intercept: (36, 0)y-intercept: (0, 36) 
E) x-intercept: (6, 0)y-intercept: (0, 36)

Question 11

Find the slope of the line passing through the pair of points. ​
(4)1, 3.1), (-3.8, 3.1)
​

Accepted Answer

A)    m = 0.40 
B)    m = -Infinity 
C)    m = 0.80 
D)    m = 0.00 
E)    m = 20.67 
A)    m = 0.40 
B)    m = -Infinity 
C)    m = 0.80 
D)    m = 0.00 
E)    m = 20.67

Question 12

A line passes through the two points P(3, 3),and Q(-5, -5).Write the equation in slope-intercept form.

Accepted Answer

The answer of A line passes through the two points...

Question 13

Find the inverse function of $f ( x ) = \sqrt { 36 - x ^ { 2 } } , 0 \leq x \leq 6$ .

Accepted Answer

A)  $f ^ { - 1 } ( x ) = \sqrt { 36 - x ^ { 2 } } , 0 \leq x \leq 6$ 
B)  $f ^ { - 1 } ( x ) = \sqrt { x ^ { 2 } - 36 } , 0 \leq x \leq 6$ 
C)  $f ^ { - 1 } ( x ) = 36 - x ^ { 2 } , 0 \leq x \leq 6$ 
D)  $f ^ { - 1 } ( x ) = \sqrt { 36 + x ^ { 2 } } , 0 \leq x \leq 6$ 
E)  $f ^ { - 1 } ( x ) = 36 + x ^ { 2 } , 0 \leq x \leq 6$ 
A)  $f ^ { - 1 } ( x ) = \sqrt { 36 - x ^ { 2 } } , 0 \leq x \leq 6$ 
B)  $f ^ { - 1 } ( x ) = \sqrt { x ^ { 2 } - 36 } , 0 \leq x \leq 6$ 
C)  $f ^ { - 1 } ( x ) = 36 - x ^ { 2 } , 0 \leq x \leq 6$ 
D)  $f ^ { - 1 } ( x ) = \sqrt { 36 + x ^ { 2 } } , 0 \leq x \leq 6$ 
E)  $f ^ { - 1 } ( x ) = 36 + x ^ { 2 } , 0 \leq x \leq 6$

Question 14

Determine the quadrant(s) in which (x, y) is located so that the condition is satisfied. x = 2 and y < -8

Accepted Answer

A) quadrant II 
B) quadrant IV 
C) quadrants I and IV 
D) quadrants II and IV 
E) quadrants III and IV 
A) quadrant II 
B) quadrant IV 
C) quadrants I and IV 
D) quadrants II and IV 
E) quadrants III and IV

Question 15

Select the correct graph of the given function.
 $f ( x ) = \frac { 1 } { x + 1 }$

Accepted Answer

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

Question 16

Estimate the slope of the line. ​   ​

Accepted Answer

A) -2 
B) -3 
C) -4 
D) -1 
E) Undefined 
A) -2 
B) -3 
C) -4 
D) -1 
E) Undefined

Question 17

Find the slope of the line passing through the pair of points.  
(14, 0), (0, -3)

Accepted Answer

A)    m = $- \frac { 1 } { 16 }$ 
B)    m = $\frac { 14 } { 3 }$ 
C)    m = $\frac { 3 } { 14 }$ 
D)    m = - $\frac { 3 } { 14 }$ 
E)    m = - $\frac { 14 } { 3 }$ 
A)    m = $- \frac { 1 } { 16 }$ 
B)    m = $\frac { 14 } { 3 }$ 
C)    m = $\frac { 3 } { 14 }$ 
D)    m = - $\frac { 3 } { 14 }$ 
E)    m = - $\frac { 14 } { 3 }$

Question 18

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​
P(2)4, -8.7), m = -4
​

Accepted Answer

A) x = 2.4y + 0.9   
B) x = 2.4   
C) y = 2.4   ​ 
D) y = -4x + 0.9   ​ 
E) y = 2.4x + 0.9   
A) x = 2.4y + 0.9   
B) x = 2.4   
C) y = 2.4   ​ 
D) y = -4x + 0.9   ​ 
E) y = 2.4x + 0.9

Question 19

Plot the following points and find the distance between the points. ​
(11, 3), (5, 3)
​

Accepted Answer

A) ​   Distance: 8 
B) ​   Distance: 6 
C) ​   Distance: 9 
D) ​   Distance: 10 
E) ​   Distance: 7 
A) ​   Distance: 8 
B) ​   Distance: 6 
C) ​   Distance: 9 
D) ​   Distance: 10 
E) ​   Distance: 7

Question 20

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant. 
 $f ( x ) = 6 x ^ { 2 } - 12 x + 6$

Accepted Answer

A)  increasing on (-$\infty$, $\infty$) 
B) descreasing on (-$\infty$, 1)increasing on (1, $\infty$) 
C)  increasing on (-$\infty$, 1)descreasing on (1, $\infty$) 
D)  descreasing on (-$\infty$, $\infty$) 
E) descreasing on (1, 1)increasing on (1, $\infty$) 
A)  increasing on (-$\infty$, $\infty$) 
B) descreasing on (-$\infty$, 1)increasing on (1, $\infty$) 
C)  increasing on (-$\infty$, 1)descreasing on (1, $\infty$) 
D)  descreasing on (-$\infty$, $\infty$) 
E) descreasing on (1, 1)increasing on (1, $\infty$)

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. $y + 4 = 0$

Select the correct graph of the given function. $f ( x ) = | x + 3 |$

Select the correct graph, showing f and g are inverse functions. $f ( x ) = 9 x , g ( x ) = \frac { x } { 9 }$

Select the correct graph of the given function. $f ( x ) = \frac { 1 } { x - 4 }$

Select the graph of the function f(x) = 3[[x]].

Find the x- and y-intercepts of the graph of the equation $y = \sqrt { - 8 x - 7 }$ .

Select the correct graph of the given function. $f ( x ) = 5 x ^ { 2 } - 1$

Evaluate f(0) if $f ( x ) = \left\{ \begin{array} { l l } 9 x + 6 , & x < 0 \\9 x + 9 , & x \geq 0\end{array} \right.$ .

Find the x- and y-intercepts of the graph of the equation y = 36 - 6x.

Find the slope of the line passing through the pair of points. (4)1, 3.1), (-3.8, 3.1)

A line passes through the two points P(3, 3),and Q(-5, -5).Write the equation in slope-intercept form.

Find the inverse function of $f ( x ) = \sqrt { 36 - x ^ { 2 } } , 0 \leq x \leq 6$ .

Determine the quadrant(s) in which (x, y) is located so that the condition is satisfied. x = 2 and y < -8

Select the correct graph of the given function. $f ( x ) = \frac { 1 } { x + 1 }$

Estimate the slope of the line.

Find the slope of the line passing through the pair of points. (14, 0), (0, -3)

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. P(2)4, -8.7), m = -4

Plot the following points and find the distance between the points. (11, 3), (5, 3)

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant. $f ( x ) = 6 x ^ { 2 } - 12 x + 6$

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 1: Functions and Their Graphs

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. y+4=0y + 4 = 0y+4=0

Select the correct graph of the given function. f(x)=∣x+3∣f ( x ) = | x + 3 |f(x)=∣x+3∣

Select the correct graph, showing f and g are inverse functions. f(x)=9x,g(x)=x9f ( x ) = 9 x , g ( x ) = \frac { x } { 9 }f(x)=9x,g(x)=9x​

Select the correct graph of the given function. f(x)=1x−4f ( x ) = \frac { 1 } { x - 4 }f(x)=x−41​

Select the graph of the function f(x) = 3[[x]]. ​

Find the x- and y-intercepts of the graph of the equation y=−8x−7y = \sqrt { - 8 x - 7 }y=−8x−7​ .

Select the correct graph of the given function. f(x)=5x2−1f ( x ) = 5 x ^ { 2 } - 1f(x)=5x2−1

Evaluate f(0) if f(x)={9x+6,x<09x+9,x≥0f ( x ) = \left\{ \begin{array} { l l } 9 x + 6 , & x < 0 \\9 x + 9 , & x \geq 0\end{array} \right.f(x)={9x+6,9x+9,​x<0x≥0​ .

Find the x- and y-intercepts of the graph of the equation y = 36 - 6x.

Find the slope of the line passing through the pair of points. ​ (4)1, 3.1), (-3.8, 3.1) ​

A line passes through the two points P(3, 3),and Q(-5, -5).Write the equation in slope-intercept form.

Find the inverse function of f(x)=36−x2,0≤x≤6f ( x ) = \sqrt { 36 - x ^ { 2 } } , 0 \leq x \leq 6f(x)=36−x2​,0≤x≤6 .

Determine the quadrant(s) in which (x, y) is located so that the condition is satisfied. x = 2 and y < -8

Select the correct graph of the given function. f(x)=1x+1f ( x ) = \frac { 1 } { x + 1 }f(x)=x+11​

Estimate the slope of the line. ​ ​

Find the slope of the line passing through the pair of points. (14, 0), (0, -3)

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​ P(2)4, -8.7), m = -4 ​

Plot the following points and find the distance between the points. ​ (11, 3), (5, 3) ​

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant. f(x)=6x2−12x+6f ( x ) = 6 x ^ { 2 } - 12 x + 6f(x)=6x2−12x+6

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Find the slope and y-intercept (if possible) of the equation of the line.Select the correct answer for the line. $y + 4 = 0$

Select the correct graph of the given function. $f ( x ) = | x + 3 |$

Select the correct graph, showing f and g are inverse functions. $f ( x ) = 9 x , g ( x ) = \frac { x } { 9 }$

Select the correct graph of the given function. $f ( x ) = \frac { 1 } { x - 4 }$

Select the graph of the function f(x) = 3[[x]].

Find the x- and y-intercepts of the graph of the equation $y = \sqrt { - 8 x - 7 }$ .

Select the correct graph of the given function. $f ( x ) = 5 x ^ { 2 } - 1$

Evaluate f(0) if $f ( x ) = \left\{ \begin{array} { l l } 9 x + 6 , & x < 0 \\9 x + 9 , & x \geq 0\end{array} \right.$ .

Find the slope of the line passing through the pair of points. (4)1, 3.1), (-3.8, 3.1)

Find the inverse function of $f ( x ) = \sqrt { 36 - x ^ { 2 } } , 0 \leq x \leq 6$ .

Select the correct graph of the given function. $f ( x ) = \frac { 1 } { x + 1 }$

Estimate the slope of the line.

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. P(2)4, -8.7), m = -4

Plot the following points and find the distance between the points. (11, 3), (5, 3)

Use a graphing utility to graph the function and visually determine the intervals over which the function is increasing, decreasing, or constant. $f ( x ) = 6 x ^ { 2 } - 12 x + 6$