Question 1

Find the domain and range for the function.
-

Accepted Answer

A)  D: $[ - 3,0 ] ;$ R: $[ - 1,3 ]$ 
B)  D: $[ 0,3 ] ; \mathrm { R } : ( - \infty , 3 ]$ 
C)  D: $( - \infty , 3 ] ;$ R: $[ 0,3 ]$ 
D)  D: $[ - 1,3 ] ;$ R: $[ - 3,0 ]$ 
A)  D: $[ - 3,0 ] ;$ R: $[ - 1,3 ]$ 
B)  D: $[ 0,3 ] ; \mathrm { R } : ( - \infty , 3 ]$ 
C)  D: $( - \infty , 3 ] ;$ R: $[ 0,3 ]$ 
D)  D: $[ - 1,3 ] ;$ R: $[ - 3,0 ]$

Question 2

Determine if the graph represents a function.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 3

Find the domain of the function.
-$$y = \frac { - 8 } { x - 2 }$$

Accepted Answer

A)  $( 2 , \infty )$ 
B)  all real numbers except $- 2$ 
C)  $( - \infty , 2 )$ 
D)  all real numbers except 2 
A)  $( 2 , \infty )$ 
B)  all real numbers except $- 2$ 
C)  $( - \infty , 2 )$ 
D)  all real numbers except 2

Question 4

Use the table to answer the question.
-$$\begin{array} { l | c | c | c | c | c | c | c } 
x & - 2 & 0 & 1 & 8 & 12 & 17 & 31 \
\hline y = g ( x ) & 5 & 9 & 11 & 25 & 33 & 43 & 71
\end{array}$$ Is 31 an input or output of this function?

Accepted Answer

A)  Input 
B)  Output 
A)  Input 
B)  Output

Question 5

Graph the equation.
-$$x = 1$$

Accepted Answer

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

Question 6

The number of births in a certain state is shown in the bar graph as a function of the month. What is the domain of this function?

Accepted Answer

A)  {October, November, December, January, February, March, April} 
B)  {October, April} 
C)  {(October, 1693), (April, 2190)} 
D)  {1693, 1801, 1887, 1872, 1956, 1961, 2190} 
A)  {October, November, December, January, February, March, April} 
B)  {October, April} 
C)  {(October, 1693), (April, 2190)} 
D)  {1693, 1801, 1887, 1872, 1956, 1961, 2190}

Question 7

For the given function, find the rate of change.
-$$y = - 700 x + 6$$

Accepted Answer

A)  700 
B)  $- 700$ 
C)  6 
D)  $- 6$ 
A)  700 
B)  $- 700$ 
C)  6 
D)  $- 6$

Question 8

Use the table to answer the question.
-$$\begin{array} { l | c | c | c | c | c | c | c } 
\mathrm { x } & - 8 & - 3 & - 1 & 0 & 1 & 9 & 15 \
\hline \mathrm { y } = \mathrm { f } ( \mathrm { x } ) & - 31 & - 16 & - 10 & - 7 & - 4 & 20 & 38
\end{array}$$ Is -3 an input or output of this function?

Accepted Answer

A)  Output 
B)  Input 
A)  Output 
B)  Input

Question 9

Decide whether the slope is positive, negative, zero, or undefined.
-

Accepted Answer

A)  Positive 
B)  Undefined 
C)  Zero 
D)  Negative 
A)  Positive 
B)  Undefined 
C)  Zero 
D)  Negative

Question 10

Decide if the function is linear.
-$y = 2 x ^ { 3 } + 8$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 11

The distance an object is from the ground after being tossed from a hot air balloon 770 feet in the air is a function of time and given by $$h ( t ) = - 16.1 t ^ { 2 } + 5.7 t + 770$$ where h is height in feet and t is the number of seconds
The object has been in the air. Find h(5.5) and explain its meaning.

Accepted Answer

A)  314.33 feet; After the object has been in the air 5.5 seconds, it is 314.33 feet above the ground. 
B)  712.80 feet; After the object has been in the air 712.80 seconds, it is 5.5 feet above the ground. 
C)  251.63 feet; After the object has been in the air 5.5 seconds, it is 251.63 feet above the ground. 
D)  712.80 feet; After the object has been in the air 5.5 seconds, it is 314.33 feet above the ground. 
A)  314.33 feet; After the object has been in the air 5.5 seconds, it is 314.33 feet above the ground. 
B)  712.80 feet; After the object has been in the air 712.80 seconds, it is 5.5 feet above the ground. 
C)  251.63 feet; After the object has been in the air 5.5 seconds, it is 251.63 feet above the ground. 
D)  712.80 feet; After the object has been in the air 5.5 seconds, it is 314.33 feet above the ground.

Question 12

Evaluate the function.
-Given $f ( x ) = x ^ { 2 } - 5 x - 1$, find $f ( - 2 )$

Accepted Answer

A)  $- 5$ 
B)  $- 7$ 
C)  15 
D)  13 
A)  $- 5$ 
B)  $- 7$ 
C)  15 
D)  13

Question 13

Find the slope of the line (if it exists) and the y-intercept (if it exists).
-$$y = 9 x + 8$$

Accepted Answer

A)  Slope $- 9$, y-intercept $( 0,8 )$ 
B)  Slope 9, y-intercept $( 0,8 )$ 
C)  Slope $8 , y$-intercept $( 0 , - 9 )$ 
D)  Slope $8 , y$-intercept $( 0,9 )$ 
A)  Slope $- 9$, y-intercept $( 0,8 )$ 
B)  Slope 9, y-intercept $( 0,8 )$ 
C)  Slope $8 , y$-intercept $( 0 , - 9 )$ 
D)  Slope $8 , y$-intercept $( 0,9 )$

Question 14

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.
-$9 y-3 x=-6$

Accepted Answer

A)  $x : - 2 ; y : - \frac { 2 } { 3 }$
  
B)  $x : 2 ; y : - \frac { 2 } { 3 }$
  
C)  $x : - \frac { 2 } { 3 } ; y : 2$
  
D)  $x : - \frac { 2 } { 3 } ; y : - 2$
  
A)  $x : - 2 ; y : - \frac { 2 } { 3 }$
  
B)  $x : 2 ; y : - \frac { 2 } { 3 }$
  
C)  $x : - \frac { 2 } { 3 } ; y : 2$
  
D)  $x : - \frac { 2 } { 3 } ; y : - 2$

Question 15

$y=-6-8 x$

Accepted Answer

A)  $x : \frac { 3 } { 4 } ; y : - 6$
  
B)  $x : - \frac { 3 } { 4 } ; y : - 6$
  
C)  $x : - 6 ; y : \frac { 3 } { 4 }$
  
D)  $x : - 6 ; y : - \frac { 3 } { 4 }$
  
A)  $x : \frac { 3 } { 4 } ; y : - 6$
  
B)  $x : - \frac { 3 } { 4 } ; y : - 6$
  
C)  $x : - 6 ; y : \frac { 3 } { 4 }$
  
D)  $x : - 6 ; y : - \frac { 3 } { 4 }$

Question 16

If one line has a slope of -3 and another line has a slope of -6, which line is steeper? Why?

Accepted Answer

The line with a slope of -6 is

Question 17

Determine whether or not the function is linear. If it is, determine the slope and interpret it.
-The cost of a rental car for the weekend is given by the function C(x) $C ( x ) = 137 + 0.25 x$ , where x is the number of miles driven. Find and interpret the C-intercept of the graph of this function.

Accepted Answer

A)  137; The cost of the rental car increases by $137 for each mile driven. 
B)  0.25; The cost of the rental car increases by $0.25 for each mile driven. 
C)  137; There is a flat rate of $137 to rent a car in addition to the charge for each mile driven. 
D)  0.25; There is a flat rate of $0.25 to rent a car in addition to the charge for each mile driven. 
A)  137; The cost of the rental car increases by $137 for each mile driven. 
B)  0.25; The cost of the rental car increases by $0.25 for each mile driven. 
C)  137; There is a flat rate of $137 to rent a car in addition to the charge for each mile driven. 
D)  0.25; There is a flat rate of $0.25 to rent a car in addition to the charge for each mile driven.

Question 18

Graph the function with a graphing utility.
-$y = x ^ { 4 } + 2 x ^ { 2 } - 2$

Accepted Answer

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

Question 19

For the given function, find the rate of change.
-$$y = 700 - 6 x$$

Accepted Answer

A)  700 
B)  5 
C)  $- 6$ 
D)  6 
A)  700 
B)  5 
C)  $- 6$ 
D)  6

Question 20

Find the average rate of change illustrated in the graph.

Accepted Answer

A)  2.5 miles per hour 
B)  0.2 miles per hour 
C)  25 miles per hour 
D)  5 miles per hour 
A)  2.5 miles per hour 
B)  0.2 miles per hour 
C)  25 miles per hour 
D)  5 miles per hour

Find the domain and range for the function. -

Determine if the graph represents a function. -

Find the domain of the function. - $y = \frac { - 8 } { x - 2 }$

Use the table to answer the question. - x -2 0 1 8 12 17 31 y=g(x) 5 9 11 25 33 43 71 Is 31 an input or output of this function?

Graph the equation. - $x = 1$

The number of births in a certain state is shown in the bar graph as a function of the month. What is the domain of this function?

For the given function, find the rate of change. - $y = - 700 x + 6$

Use the table to answer the question. - -8 -3 -1 0 1 9 15 =() -31 -16 -10 -7 -4 20 38 Is -3 an input or output of this function?

Decide whether the slope is positive, negative, zero, or undefined. -

Decide if the function is linear. - $y = 2 x ^ { 3 } + 8$

Evaluate the function. -Given $f ( x ) = x ^ { 2 } - 5 x - 1$ , find $f ( - 2 )$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = 9 x + 8$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $9 y-3 x=-6$

$y=-6-8 x$

If one line has a slope of -3 and another line has a slope of -6, which line is steeper? Why?

Determine whether or not the function is linear. If it is, determine the slope and interpret it. -The cost of a rental car for the weekend is given by the function C(x) $C ( x ) = 137 + 0.25 x$ , where x is the number of miles driven. Find and interpret the C-intercept of the graph of this function.

Graph the function with a graphing utility. - $y = x ^ { 4 } + 2 x ^ { 2 } - 2$ $Graph the function with a graphing utility. - y = x ^ { 4 } + 2 x ^ { 2 } - 2$

For the given function, find the rate of change. - $y = 700 - 6 x$

Find the average rate of change illustrated in the graph.

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Exam 1: Functions, Graphs, and Models; Linear Functions

Find the domain and range for the function. -

Determine if the graph represents a function. -

Find the domain of the function. - y=−8x−2y = \frac { - 8 } { x - 2 }y=x−2−8​

Use the table to answer the question. - x -2 0 1 8 12 17 31 y=g(x) 5 9 11 25 33 43 71 Is 31 an input or output of this function?

Graph the equation. - x=1x = 1x=1

The number of births in a certain state is shown in the bar graph as a function of the month. What is the domain of this function?

For the given function, find the rate of change. - y=−700x+6y = - 700 x + 6y=−700x+6

Use the table to answer the question. - -8 -3 -1 0 1 9 15 =() -31 -16 -10 -7 -4 20 38 Is -3 an input or output of this function?

Decide whether the slope is positive, negative, zero, or undefined. -

Decide if the function is linear. - y=2x3+8y = 2 x ^ { 3 } + 8y=2x3+8

Evaluate the function. -Given f(x)=x2−5x−1f ( x ) = x ^ { 2 } - 5 x - 1f(x)=x2−5x−1 , find f(−2)f ( - 2 )f(−2)

Find the slope of the line (if it exists) and the y-intercept (if it exists). - y=9x+8y = 9 x + 8y=9x+8

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - 9y−3x=−69 y-3 x=-69y−3x=−6

y=−6−8xy=-6-8 xy=−6−8x

If one line has a slope of -3 and another line has a slope of -6, which line is steeper? Why?

Graph the function with a graphing utility. - y=x4+2x2−2y = x ^ { 4 } + 2 x ^ { 2 } - 2y=x4+2x2−2

For the given function, find the rate of change. - y=700−6xy = 700 - 6 xy=700−6x

Find the average rate of change illustrated in the graph.

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Special Topics in Algebra

Filters

Find the domain of the function. - $y = \frac { - 8 } { x - 2 }$

Graph the equation. - $x = 1$

For the given function, find the rate of change. - $y = - 700 x + 6$

Decide if the function is linear. - $y = 2 x ^ { 3 } + 8$

Evaluate the function. -Given $f ( x ) = x ^ { 2 } - 5 x - 1$ , find $f ( - 2 )$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = 9 x + 8$

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $9 y-3 x=-6$

$y=-6-8 x$

Graph the function with a graphing utility. - $y = x ^ { 4 } + 2 x ^ { 2 } - 2$ $Graph the function with a graphing utility. - y = x ^ { 4 } + 2 x ^ { 2 } - 2$

For the given function, find the rate of change. - $y = 700 - 6 x$