Question 1

Determine algebraically whether the function is even, odd, or neither.
-$f ( x ) = 2 x ^ { 3 } - 4$

Accepted Answer

A)  even 
B)  odd 
C)  neither

Question 2

Determine algebraically whether the function is even, odd, or neither.
-$\sqrt [ 3 ] { 7 x ^ { 2 } + 4 }$

Accepted Answer

A)  even 
B)  odd 
C)  neither

Question 3

Determine whether the relation represents a function. If it is a function, state the domain and range.
-$(-3,6),(2,3),(3,-3),(8,-1)$

Accepted Answer

A)  function
domain: $ \{6,3,-3,-1\} $
range: $ \{-3,2,3,8\} $ 
B)  function
domain: $ \{-3,2,3,8\} $
range: $ \{6,3,-3,-1\} $ 
C)  $\text { not a function }$

Question 4

Determine whether the equation defines y as a function of x.
-$y=|x|$

Accepted Answer

A)  function 
B)  not a function

Question 5

For the function, find the average rate of change of f from 1 to x: $$\frac { f ( x ) - f ( 1 ) } { x - 1 } , x \neq 1$$
-f(x) = 8x A) $\frac { 8 } { x - 1 }$

Accepted Answer

B)  0 
C)  7 
D)  8

Question 6

Find the value for the function.
-Find $- f ( x )$ when $f ( x ) = 2 x ^ { 2 } + 4 x - 4$.

Accepted Answer

A)  $2 x ^ { 2 } - 4 x - 4$ 
B)  $- 2 x ^ { 2 } - 4 x + 4$ 
C)  $2 x ^ { 2 } - 4 x + 4$ 
D)  $- 2 x ^ { 2 } - 4 x - 4$

Question 7

Solve.
-The amount of simple interest earned on an investment over a fixed amount of time is jointly proportional to the principle invested and the interest rate. A principle investment of $1,200.00 with an interest rate of 1% earned
$60)00 in simple interest. Find the amount of simple interest earned if the principle is $1,400.00 and the interest
Rate is 5%.

Accepted Answer

A)  $70.00 
B)  $35,000.00 
C)  $350.00 
D)  $300.00

Question 8

Solve the problem.
-If the voltage, V, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If the current is 300 milliamperes when the resistance is 2 ohms, find the current when the resistance is 12 ohms.

Accepted Answer

A)  1,800 milliamperes 
B)  1,794 milliamperes 
C)  100 milliamperes 
D)  50 milliamperes

Question 9

Determine whether the equation defines y as a function of x.
-$-4 x+x^{2}-58=y$

Accepted Answer

A)  function 
B)  not a function

Question 10

Solve the problem.
-Bob wants to fence in a rectangular garden in his yard. He has 64 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x. A) $A ( x ) = 33 x - x ^ { 2 }$

Accepted Answer

B)  $A ( x ) = 31 x - x ^ { 2 }$ 
C)  $A ( x ) = 34 x ^ { 2 } - x$ 
D)  $A ( x ) = 32 x - x ^ { 2 }$

Question 11

Find an equation of the secant line containing (1, f(1)) and (2, f(2)).
-$$f ( x ) = x ^ { 3 } - x$$

Accepted Answer

A)  $y = 6 x - 6$ 
B)  $y = - 6 x + 6$ 
C)  $y = 6 x + 6$ 
D)  $y = - 6 x - 6$

Question 12

Answer the question about the given function.
-Given the function $f ( x ) = \frac { x ^ { 2 } + 5 } { x - 3 }$, list the $x$-intercepts, if any, of the graph of $f$.

Accepted Answer

A)  $( 3,0 )$ 
B)  $( 5,0 ) , ( - 5,0 )$ 
C)  $( - \sqrt { 5 } , 0 )$ 
D)  none

Question 13

Choose the one alternative that best completes the statement or answers the question.
Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f(x)=x^{2}+2$

A)

Accepted Answer

B)

C) 
 
D)

Question 14

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given
interval.
-$$( - 2.5,2.2 )$$

Accepted Answer

A)  increasing 
B)  constant 
C)  decreasing

Question 15

Answer the question about the given function.
-$$\text { Given the function } f ( x ) = \frac { x ^ { 2 } - 6 } { x + 2 } \text {, is the point } ( - 1,7 ) \text { on the graph of } f \text { ? }$$

Accepted Answer

A)  Yes 
B)  No

Question 16

The graph of a function f is given. Use the graph to answer the question.
-What is the y-intercept?

Accepted Answer

A)  $- 8$ 
B)  10 
C)  7 
D)  $- 6$

Question 17

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f(x)=5 \sqrt{x}$

A)

Accepted Answer

B) 
 
C) 
 
D)

Question 18

Match the graph to the function listed whose graph most resembles the one given.
-

Accepted Answer

A)  square root function 
B)  reciprocal function 
C)  absolute value function 
D)  square function

Question 19

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f(x)=\sqrt{-x}$

A)

Accepted Answer

B) 
 
C) 
 
D)

Question 20

Solve the problem.
-Jacey, a commissioned salesperson, earns $140 base pay plus $35 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Accepted Answer

A)  G(x) = 35(x + 140) 
B)  G(x) = 35x + 140 
C)  G(x) = 140(x + 35) 
D)  G(x) = 140x +35

Exam 1: Functions and Their Graphs

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = 2 x ^ { 3 } - 4$

Determine algebraically whether the function is even, odd, or neither. - $\sqrt [ 3 ] { 7 x ^ { 2 } + 4 }$

Determine whether the relation represents a function. If it is a function, state the domain and range. - $(-3,6) ,(2,3) ,(3,-3) ,(8,-1)$

Determine whether the equation defines y as a function of x. - $y=|x|$

Find the value for the function. -Find $- f ( x )$ when $f ( x ) = 2 x ^ { 2 } + 4 x - 4$ .

Solve the problem. -If the voltage, V, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If the current is 300 milliamperes when the resistance is 2 ohms, find the current when the resistance is 12 ohms.

Determine whether the equation defines y as a function of x. - $-4 x+x^{2}-58=y$

Find an equation of the secant line containing (1, f(1) ) and (2, f(2) ) . - $f ( x ) = x ^ { 3 } - x$

Answer the question about the given function. -Given the function $f ( x ) = \frac { x ^ { 2 } + 5 } { x - 3 }$ , list the $x$ -intercepts, if any, of the graph of $f$ .

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. - $( - 2.5,2.2 )$

Answer the question about the given function. - $\text { Given the function } f ( x ) = \frac { x ^ { 2 } - 6 } { x + 2 } \text {, is the point } ( - 1,7 ) \text { on the graph of } f \text { ? }$

The graph of a function f is given. Use the graph to answer the question. -What is the y-intercept?

Match the graph to the function listed whose graph most resembles the one given. -

Solve the problem. -Jacey, a commissioned salesperson, earns $140 base pay plus $35 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Exam 1: Functions and Their Graphs

Determine algebraically whether the function is even, odd, or neither. - f(x) =2x3−4f ( x ) = 2 x ^ { 3 } - 4f(x) =2x3−4

Determine algebraically whether the function is even, odd, or neither. - 7x2+43\sqrt [ 3 ] { 7 x ^ { 2 } + 4 }37x2+4​

Determine whether the relation represents a function. If it is a function, state the domain and range. - (−3,6) ,(2,3) ,(3,−3) ,(8,−1) (-3,6) ,(2,3) ,(3,-3) ,(8,-1) (−3,6) ,(2,3) ,(3,−3) ,(8,−1)

Determine whether the equation defines y as a function of x. - y=∣x∣y=|x|y=∣x∣

Find the value for the function. -Find −f(x) - f ( x ) −f(x) when f(x) =2x2+4x−4f ( x ) = 2 x ^ { 2 } + 4 x - 4f(x) =2x2+4x−4 .