Question 1

Evaluate the function.
-Given $f ( x ) = ( x + 3 ) ^ { 2 }$, find $f ( 2 )$

Accepted Answer

A)  1 
B)  $- 25$ 
C)  10 
D)  25 
A)  1 
B)  $- 25$ 
C)  10 
D)  25

Question 2

Decide whether or not the arrow diagram defines a function.
-

Accepted Answer

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

Question 3

Provide an appropriate response.
-Suppose the population of deer fluctuates over time. The population increases in the summer and decreases in
the winter. It also varies over many years as well. If you looked at the graph of population versus time, would
this relation be a function? Why or why not?

Accepted Answer

This would be a function because at any

Question 4

For the function given, show how you would find the average rate of change using the difference quotient. $$f ( x ) = 16 + 2 x$$

Accepted Answer

The difference quotient is giv

Question 5

Find the slope of the line (if it exists) and the y-intercept (if it exists).
-$$3 y = 21$$

Accepted Answer

A)  Slope $0 ; y$-intercept $( 7,0 )$ 
B)  Slope undefined; $\mathrm { y }$-intercept $( 7,0 )$ 
C)  Slope undefined; $\mathrm { y }$-intercept $( 0,7 )$ 
D)  Slope $0 ; y$-intercept $( 0,7 )$ 
A)  Slope $0 ; y$-intercept $( 7,0 )$ 
B)  Slope undefined; $\mathrm { y }$-intercept $( 7,0 )$ 
C)  Slope undefined; $\mathrm { y }$-intercept $( 0,7 )$ 
D)  Slope $0 ; y$-intercept $( 0,7 )$

Question 6

y -intercept - 10 and  x -intercept  -9

Accepted Answer

A)  $y = \frac { 9 } { 10 } x - 9$ 
B)  $y = - \frac { 9 } { 10 } x - 9$ 
C)  $y = \frac { 10 } { 9 } x - 10$ 
D)  $y = - \frac { 10 } { 9 } x - 10$ 
A)  $y = \frac { 9 } { 10 } x - 9$ 
B)  $y = - \frac { 9 } { 10 } x - 9$ 
C)  $y = \frac { 10 } { 9 } x - 10$ 
D)  $y = - \frac { 10 } { 9 } x - 10$

Question 7

Decide if the function is linear.
-$y = 4 x + 9$

Accepted Answer

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

Question 8

Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2008?

Accepted Answer

A)  400 cars 
B)  550 cars 
C)  350 cars 
D)  500 cars 
A)  400 cars 
B)  550 cars 
C)  350 cars 
D)  500 cars

Question 9

Determine whether or not the relationship shown in the table is a function.
-$$\begin{array} { r | r | r | r | r | r } 
\mathrm { x } & - 2 & 2 & 4 & 9 & 10 \
\hline \mathrm { y } & 2 & 4 & - 1 & 2 & 1
\end{array}$$ Does the table define y as a function of x?

Accepted Answer

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

Question 10

For the given function, find the rate of change.
-$$y = 3 x + 6$$

Accepted Answer

A)  3 
B)  $- 3$ 
C)  6 
D)  $- 6$ 
A)  3 
B)  $- 3$ 
C)  6 
D)  $- 6$

Question 11

Find the slope of the line through the pair of points.
-$( - 1 , - 6 )$ and $( 7 , - 3 )$

Accepted Answer

A)  $\frac { 8 } { 3 }$ 
B)  $- \frac { 3 } { 8 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  $- \frac { 8 } { 3 }$ 
A)  $\frac { 8 } { 3 }$ 
B)  $- \frac { 3 } { 8 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  $- \frac { 8 } { 3 }$

Question 12

(-1,7) ;  horizontal

Accepted Answer

A)   y=7 
B)   x=-1 
C)   y=1 
D)   x=-7 
A)   y=7 
B)   x=-1 
C)   y=1 
D)   x=-7

Question 13

Graph the function with a graphing utility.
-$y=x^{2}+2 x-7$

Accepted Answer

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

Question 14

The number N, in millions of Americans of age x with arthritis, is estimated with the following graph.   What approximate age (closest integer) has the most arthritic Americans?

Accepted Answer

A)  88 
B)  65 
C)  21 
D)  60 
A)  88 
B)  65 
C)  21 
D)  60

Question 15

Decide whether or not the equation defines y as a function of x.
-$y ^ { 2 } = ( x - 6 ) ( x + 4 )$

Accepted Answer

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

Question 16

Determine whether or not the function is linear. If it is, determine the slope and interpret it.
-The value of a particular car is given by V(t) $V ( t ) = 22,000 - 3200 t$ t, where t is the age of the car in years.

Accepted Answer

A)  Linear; 3200; Each year, the car depreciates $3200. 
B)  Not linear 
C)  Linear; 3200; Each year, the car appreciates $3200. 
D)  Linear; 22,000; Each year, the car depreciates $22,000. 
A)  Linear; 3200; Each year, the car depreciates $3200. 
B)  Not linear 
C)  Linear; 3200; Each year, the car appreciates $3200. 
D)  Linear; 22,000; Each year, the car depreciates $22,000.

Question 17

Find the domain and range for the function.
-

Accepted Answer

A)  D: $[ 0,4 ] ; R : [ - 3,4 ]$ 
B)  D: $[ - 3,4 ] ;$ R: $[ 0,4 ]$ 
C)  D: $( - 3,4 ) ;$ R: $( 0,4 )$ 
D)  D: $[ 3,4 ] ; R : [ 0,4 ]$ 
A)  D: $[ 0,4 ] ; R : [ - 3,4 ]$ 
B)  D: $[ - 3,4 ] ;$ R: $[ 0,4 ]$ 
C)  D: $( - 3,4 ) ;$ R: $( 0,4 )$ 
D)  D: $[ 3,4 ] ; R : [ 0,4 ]$

Question 18

Rate of change  9, y=-$\frac { 4 } { 7 }$  when  x=0

Accepted Answer

A)   y=-$\frac { 4 } { 7 } x$+9 
B)   y=$\frac { 4 } { 7 } x$ -9 
C)   y=9 x-$\frac { 4 } { 7 }$ 
D)   y=9 x+$\frac { 4 } { 7 }$ 
A)   y=-$\frac { 4 } { 7 } x$+9 
B)   y=$\frac { 4 } { 7 } x$ -9 
C)   y=9 x-$\frac { 4 } { 7 }$ 
D)   y=9 x+$\frac { 4 } { 7 }$

Question 19

Graph the function with a graphing utility.
-$y = \frac { x + 1 } { x ^ { 2 } + x - 30 }$

Accepted Answer

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

Question 20

For the given function, find the rate of change.
-$$y = 3 + \frac { 1 } { 9 } x$$

Accepted Answer

A)  $\frac { 1 } { 9 }$ 
B)  3 
C)  9 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 1 } { 9 }$ 
B)  3 
C)  9 
D)  $\frac { 1 } { 3 }$

Evaluate the function. -Given $f ( x ) = ( x + 3 ) ^ { 2 }$ , find $f ( 2 )$

Decide whether or not the arrow diagram defines a function. -

Provide an appropriate response. -Suppose the population of deer fluctuates over time. The population increases in the summer and decreases in the winter. It also varies over many years as well. If you looked at the graph of population versus time, would this relation be a function? Why or why not?

For the function given, show how you would find the average rate of change using the difference quotient. $f ( x ) = 16 + 2 x$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $3 y = 21$

y -intercept - 10 and x -intercept -9

Decide if the function is linear. - $y = 4 x + 9$

Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2008?

Determine whether or not the relationship shown in the table is a function. - -2 2 4 9 10 2 4 -1 2 1 Does the table define y as a function of x?

For the given function, find the rate of change. - $y = 3 x + 6$

Find the slope of the line through the pair of points. - $( - 1 , - 6 )$ and $( 7 , - 3 )$

(-1,7) ; horizontal

Graph the function with a graphing utility. - $y=x^{2}+2 x-7$ $Graph the function with a graphing utility. - y=x^{2}+2 x-7$

The number N, in millions of Americans of age x with arthritis, is estimated with the following graph. What approximate age (closest integer) has the most arthritic Americans?

Decide whether or not the equation defines y as a function of x. - $y ^ { 2 } = ( x - 6 ) ( x + 4 )$

Determine whether or not the function is linear. If it is, determine the slope and interpret it. -The value of a particular car is given by V(t) $V ( t ) = 22,000 - 3200 t$ t, where t is the age of the car in years.

Find the domain and range for the function. -

Rate of change 9, y=- $\frac { 4 } { 7 }$ when x=0

Graph the function with a graphing utility. - $y = \frac { x + 1 } { x ^ { 2 } + x - 30 }$ $Graph the function with a graphing utility. - y = \frac { x + 1 } { x ^ { 2 } + x - 30 }$

For the given function, find the rate of change. - $y = 3 + \frac { 1 } { 9 } x$

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

Evaluate the function. -Given f(x)=(x+3)2f ( x ) = ( x + 3 ) ^ { 2 }f(x)=(x+3)2 , find f(2)f ( 2 )f(2)

Decide whether or not the arrow diagram defines a function. -

Provide an appropriate response. -Suppose the population of deer fluctuates over time. The population increases in the summer and decreases in the winter. It also varies over many years as well. If you looked at the graph of population versus time, would this relation be a function? Why or why not?

For the function given, show how you would find the average rate of change using the difference quotient. f(x)=16+2xf ( x ) = 16 + 2 xf(x)=16+2x

Find the slope of the line (if it exists) and the y-intercept (if it exists). - 3y=213 y = 213y=21

y -intercept - 10 and x -intercept -9

Decide if the function is linear. - y=4x+9y = 4 x + 9y=4x+9

Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2008?

Determine whether or not the relationship shown in the table is a function. - -2 2 4 9 10 2 4 -1 2 1 Does the table define y as a function of x?

For the given function, find the rate of change. - y=3x+6y = 3 x + 6y=3x+6

Find the slope of the line through the pair of points. - (−1,−6)( - 1 , - 6 )(−1,−6) and (7,−3)( 7 , - 3 )(7,−3)

(-1,7) ; horizontal

Graph the function with a graphing utility. - y=x2+2x−7y=x^{2}+2 x-7y=x2+2x−7

The number N, in millions of Americans of age x with arthritis, is estimated with the following graph. What approximate age (closest integer) has the most arthritic Americans?

Decide whether or not the equation defines y as a function of x. - y2=(x−6)(x+4)y ^ { 2 } = ( x - 6 ) ( x + 4 )y2=(x−6)(x+4)

Determine whether or not the function is linear. If it is, determine the slope and interpret it. -The value of a particular car is given by V(t) V(t)=22,000−3200tV ( t ) = 22,000 - 3200 tV(t)=22,000−3200t t, where t is the age of the car in years.

Find the domain and range for the function. -

Rate of change 9, y=- 47\frac { 4 } { 7 }74​ when x=0

Graph the function with a graphing utility. - y=x+1x2+x−30y = \frac { x + 1 } { x ^ { 2 } + x - 30 }y=x2+x−30x+1​

For the given function, find the rate of change. - y=3+19xy = 3 + \frac { 1 } { 9 } xy=3+91​x

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

Evaluate the function. -Given $f ( x ) = ( x + 3 ) ^ { 2 }$ , find $f ( 2 )$

For the function given, show how you would find the average rate of change using the difference quotient. $f ( x ) = 16 + 2 x$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $3 y = 21$

Decide if the function is linear. - $y = 4 x + 9$

For the given function, find the rate of change. - $y = 3 x + 6$

Find the slope of the line through the pair of points. - $( - 1 , - 6 )$ and $( 7 , - 3 )$

Graph the function with a graphing utility. - $y=x^{2}+2 x-7$ $Graph the function with a graphing utility. - y=x^{2}+2 x-7$

Decide whether or not the equation defines y as a function of x. - $y ^ { 2 } = ( x - 6 ) ( x + 4 )$

Determine whether or not the function is linear. If it is, determine the slope and interpret it. -The value of a particular car is given by V(t) $V ( t ) = 22,000 - 3200 t$ t, where t is the age of the car in years.

Rate of change 9, y=- $\frac { 4 } { 7 }$ when x=0

Graph the function with a graphing utility. - $y = \frac { x + 1 } { x ^ { 2 } + x - 30 }$ $Graph the function with a graphing utility. - y = \frac { x + 1 } { x ^ { 2 } + x - 30 }$

For the given function, find the rate of change. - $y = 3 + \frac { 1 } { 9 } x$