Question 1

Find the slope of the line (if it exists) and the y-intercept (if it exists).
-$$y = - 1.8 x - 5.4$$

Accepted Answer

A)  Slope 1.8, y-intercept $( 0 , - 5.4 )$ 
B)  Slope $- 5.4$, y-intercept $( 0 , - 1.8 )$ 
C)  Slope $- 1.8$, y-intercept $( 0 , - 5.4 )$ 
D)  Slope $- 1.8$, y-intercept $( 0,5.4 )$ 
A)  Slope 1.8, y-intercept $( 0 , - 5.4 )$ 
B)  Slope $- 5.4$, y-intercept $( 0 , - 1.8 )$ 
C)  Slope $- 1.8$, y-intercept $( 0 , - 5.4 )$ 
D)  Slope $- 1.8$, y-intercept $( 0,5.4 )$

Question 2

Find the average rate of change from  (-1,3)  to  (2,-3) .

Accepted Answer

A)  2 
B) $\frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 2 }$ 
D)   -2 
A)  2 
B) $\frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 2 }$ 
D)   -2

Question 3

This chart shows the fees for an 18-hole round of golf for each of the last 5 years at a local municipal golf course. Assume that this chart defines a function with the name of f. Find f(2010). $$\begin{array} { c | c } 
\text { Year } & \text { Fee } \
\hline 2008 & \$ 22 \
2009 & \$ 24 \
2010 & \$ 26 \
2011 & \$ 26 \
2012 & \$ 28
\end{array}$$

Accepted Answer

A)  $22 
B)  $28 
C)  $26 
D)  $24 
A)  $22 
B)  $28 
C)  $26 
D)  $24

Question 4

(8,-2) ; m=-$\frac { 4 } { 5 }$

Accepted Answer

A)   y=  $\frac { 4 } { 5 } x - \frac { 22 } { 5 }$ 
B)   y=-$\frac { 4 } { 5 }$x+6 
C)   y=  $= \frac { 4 } { 5 } x + \frac { 42 } { 5 }$ 
D)   y=  $- \frac { 4 } { 5 } x + \frac { 22 } { 5 }$ 
A)   y=  $\frac { 4 } { 5 } x - \frac { 22 } { 5 }$ 
B)   y=-$\frac { 4 } { 5 }$x+6 
C)   y=  $= \frac { 4 } { 5 } x + \frac { 42 } { 5 }$ 
D)   y=  $- \frac { 4 } { 5 } x + \frac { 22 } { 5 }$

Question 5

Provide an appropriate response.
-$\text { Decide if the window } [ - 7,18 ] \text { by } [ - 4,34 ] \text { shows a complete graph of the function } f ( x ) = - 2 x - 19 \text {. }$

Accepted Answer

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

Question 6

If $y = f ( x )$, find $f ( 1 )$.

Accepted Answer

A)  1 
B)  2 
C)  0 
D)  $- 2$ 
A)  1 
B)  2 
C)  0 
D)  $- 2$

Question 7

State whether the graph is or is not that of a function.
-

Accepted Answer

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

Question 8

Decide whether or not the equation defines y as a function of x.
-$y = 2 x - 3$

Accepted Answer

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

Question 9

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and
why the relationship is a function.
-Derek's weight w in second grade g.

Accepted Answer

A)  No 
B)  Yes; g, w; there is one weight for second grade. 
A)  No 
B)  Yes; g, w; there is one weight for second grade.

Question 10

Graph the scatter plot of the data.
-$\begin{array}{c|cccccccc}
\mathrm{x} & 0.55 & 0.34 & 0.43 & 0.2 & 0.02 & 0.1 & 0.69 & 0.08 \
\hline \mathrm{y} & 0.73 & 0.5 & 0.61 & 0.34 & -0.82 & 0.59 & 0.85 & 0.13
\end{array}$

Accepted Answer

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

Question 11

Graph the equation.
-$25 y=5 x+25$

Accepted Answer

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

Question 12

The bar graph below gives the number of births in a certain state for the months October to April, where $t = 1$ corresponds to October and $t = 7$ corresponds to April. If the number of births in thousands in this state is the function $B ( t )$, where $t$ is in months, find $B ( 4 )$ and explain its meaning.

Accepted Answer

A)  1.887; In December, there were 1887 births in this state. 
B)  1.872; In January, there were 1.872 births in this state. 
C)  1.872; In January, there were 1872 births in this state. 
D)  1.956; In February, there were 1956 births in this state. 
A)  1.887; In December, there were 1887 births in this state. 
B)  1.872; In January, there were 1.872 births in this state. 
C)  1.872; In January, there were 1872 births in this state. 
D)  1.956; In February, there were 1956 births in this state.

Question 13

Provide an appropriate response.
-Find an appropriate viewing window for the function $y = x ^ { 2 } - 23$, for $x$-values between $- 10$ and 10 . Answer: Answers may vary. A possible answer is $\mathrm { y } _ { \min } = - 46$ and $\mathrm { y } _ { \max } = 0$. 14 Which window gives a better view of the graph of the function $y = ( x + 15 ) ^ { 3 }$ :
$$\begin{array} { l } 
x _ { \min } = - 10 , x _ { \max } = 10 , y _ { \text {min } } = - 10 , y _ { \text {max } } = 10 \text { or } \
x _ { \text {min } } = - 17 , x _ { \text {max } } = - 13 , y _ { \text {min } } = - 10 , y _ { \text {max } } = 10
\end{array}$$

Accepted Answer

The window @#LAT-DLM& gives a

Question 14

The percent p of high school students who participate in sports at a public high school can be modeled by 10p - $24 x = 196$ ,where x is the number of years after 2010. Interpret the p intercept of the graph of this function.

Accepted Answer

A)  In 2010, 19.6% of the high school students at this school participated in sports. 
B)  The percent of high school students who participate in sports at this school is increasing 2.4 percent per year. 
C)  In 2010, 28.8% of the high school students at this school participated in sports. 
D)  The percent of high school students who participate in sports at this school is increasing 19.6 percent per year. 
A)  In 2010, 19.6% of the high school students at this school participated in sports. 
B)  The percent of high school students who participate in sports at this school is increasing 2.4 percent per year. 
C)  In 2010, 28.8% of the high school students at this school participated in sports. 
D)  The percent of high school students who participate in sports at this school is increasing 19.6 percent per year.

Question 15

For the function $y = f ( x )$ described by the table, find $f ( 2 )$.

Accepted Answer

A)  7 
B)  0 
C)  2 
D)  Not shown 
A)  7 
B)  0 
C)  2 
D)  Not shown

Question 16

Determine a viewing window that will provide a complete graph of the function.
-$$y = 4.5 x ^ { 3 } + 12 x ^ { 2 } - 82$$

Accepted Answer

A)  $[ - 100,100 ]$ by $[ - 10,10 ]$ 
B)  $[ - 5,5 ]$ by $[ - 200,50 ]$ 
C)  $[ - 6,6 ]$ by $[ - 50,100 ]$ 
D)  $[ - 2,1 ]$ by $[ - 100,50 ]$ 
A)  $[ - 100,100 ]$ by $[ - 10,10 ]$ 
B)  $[ - 5,5 ]$ by $[ - 200,50 ]$ 
C)  $[ - 6,6 ]$ by $[ - 50,100 ]$ 
D)  $[ - 2,1 ]$ by $[ - 100,50 ]$

Question 17

Find the domain and range for the function.
-

Accepted Answer

A)  D: $\{ - 6 , - 4 , - 2,0,2,4,6 \} ;$ R: $\{ - 4 , - 2 , - 1,3,4,6 \}$ 
B)  D: $\{ - 6 , - 4 , - 2,2,4,6 \} ; \mathrm { R } : \{ - 4 , - 2 , - 1,3,4,6 \}$ 
C)  D: $\{ - 6 , - 4,4,6 \} ; \mathrm { R } : \{ - 4 , - 2,4,6 \}$ 
D)  D: $\{ - 4 , - 2 , - 1,3,4,6 \} ; \mathrm { R } : \{ - 6 , - 4 , - 2,2,4,6 \}$ 
A)  D: $\{ - 6 , - 4 , - 2,0,2,4,6 \} ;$ R: $\{ - 4 , - 2 , - 1,3,4,6 \}$ 
B)  D: $\{ - 6 , - 4 , - 2,2,4,6 \} ; \mathrm { R } : \{ - 4 , - 2 , - 1,3,4,6 \}$ 
C)  D: $\{ - 6 , - 4,4,6 \} ; \mathrm { R } : \{ - 4 , - 2,4,6 \}$ 
D)  D: $\{ - 4 , - 2 , - 1,3,4,6 \} ; \mathrm { R } : \{ - 6 , - 4 , - 2,2,4,6 \}$

Question 18

This chart shows the number of meals served in a restaurant during each of the past 4 months. Assume that the information in the chart defines a function with the name g. For which x does g(x) $\text { For which } x \text { does } g ( x ) = 1562$ ? $$\begin{array} { r | c } 
\text { Month } & \text { Number } \
\hline \text { January } & 1500 \
\text { February } & 1557 \
\text { March } & 1541 \
\text { April } & 1562
\end{array}$$

Accepted Answer

A)  February 
B)  March 
C)  January 
D)  April 
A)  February 
B)  March 
C)  January 
D)  April

Question 19

$8 x-5=y$

Accepted Answer

A)  $x : - 5 ; y : - \frac { 5 } { 8 }$
  
B)  $x : \frac { 5 } { 8 } ; y : - 5$
  
C)  $x : - 5 ; y : \frac { 5 } { 8 }$
  
D)  $x : - \frac { 5 } { 8 } ; y : - 5$
  
A)  $x : - 5 ; y : - \frac { 5 } { 8 }$
  
B)  $x : \frac { 5 } { 8 } ; y : - 5$
  
C)  $x : - 5 ; y : \frac { 5 } { 8 }$
  
D)  $x : - \frac { 5 } { 8 } ; y : - 5$

Question 20

A cab company charges a base rate of $\$ 1.50$ plus 15 cents per minute. Let y be the cost in dollars of using the cab for $x$ minutes. Find the slope-intercept form of the equation.

Accepted Answer

A)  $y = 1.50 x + 0.15$ 
B)  $y = 0.15 x + 1.50$ 
C)  $y = 0.15 x - 1.50$ 
D)  $y = 1.50 x - 0.15$ 
A)  $y = 1.50 x + 0.15$ 
B)  $y = 0.15 x + 1.50$ 
C)  $y = 0.15 x - 1.50$ 
D)  $y = 1.50 x - 0.15$

Find the slope of the line (if it exists) and the y-intercept (if it exists). - $y = - 1.8 x - 5.4$

Find the average rate of change from (-1,3) to (2,-3) .

This chart shows the fees for an 18-hole round of golf for each of the last 5 years at a local municipal golf course. Assume that this chart defines a function with the name of f. Find f(2010). Year Fee 2008 \ 22 2009 \ 24 2010 \ 26 2011 \ 26 2012 \ 28

(8,-2) ; m=- $\frac { 4 } { 5 }$

Provide an appropriate response. - $\text { Decide if the window } [ - 7,18 ] \text { by } [ - 4,34 ] \text { shows a complete graph of the function } f ( x ) = - 2 x - 19 \text {. }$

If $y = f ( x )$ , find $f ( 1 )$ .

State whether the graph is or is not that of a function. -

Decide whether or not the equation defines y as a function of x. - $y = 2 x - 3$

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -Derek's weight w in second grade g.

Graph the equation. - $25 y=5 x+25$

The percent p of high school students who participate in sports at a public high school can be modeled by 10p - $24 x = 196$ ,where x is the number of years after 2010. Interpret the p intercept of the graph of this function.

For the function $y = f ( x )$ described by the table, find $f ( 2 )$ .

Determine a viewing window that will provide a complete graph of the function. - $y = 4.5 x ^ { 3 } + 12 x ^ { 2 } - 82$

Find the domain and range for the function. -

$8 x-5=y$

A cab company charges a base rate of $\$ 1.50$ plus 15 cents per minute. Let y be the cost in dollars of using the cab for $x$ minutes. Find the slope-intercept form of the equation.

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 slope of the line (if it exists) and the y-intercept (if it exists). - y=−1.8x−5.4y = - 1.8 x - 5.4y=−1.8x−5.4

Find the average rate of change from (-1,3) to (2,-3) .

This chart shows the fees for an 18-hole round of golf for each of the last 5 years at a local municipal golf course. Assume that this chart defines a function with the name of f. Find f(2010). Year Fee 2008 \ 22 2009 \ 24 2010 \ 26 2011 \ 26 2012 \ 28

(8,-2) ; m=- 45\frac { 4 } { 5 }54​

If y=f(x)y = f ( x )y=f(x) , find f(1)f ( 1 )f(1) .

State whether the graph is or is not that of a function. -

Decide whether or not the equation defines y as a function of x. - y=2x−3y = 2 x - 3y=2x−3

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -Derek's weight w in second grade g.

Graph the scatter plot of the data. - 0.55 0.34 0.43 0.2 0.02 0.1 0.69 0.08 0.73 0.5 0.61 0.34 -0.82 0.59 0.85 0.13

Graph the equation. - 25y=5x+2525 y=5 x+2525y=5x+25

The percent p of high school students who participate in sports at a public high school can be modeled by 10p - 24x=19624 x = 19624x=196 ,where x is the number of years after 2010. Interpret the p intercept of the graph of this function.

For the function y=f(x)y = f ( x )y=f(x) described by the table, find f(2)f ( 2 )f(2) .

Determine a viewing window that will provide a complete graph of the function. - y=4.5x3+12x2−82y = 4.5 x ^ { 3 } + 12 x ^ { 2 } - 82y=4.5x3+12x2−82

Find the domain and range for the function. -

8x−5=y8 x-5=y8x−5=y

A cab company charges a base rate of $1.50\$ 1.50$1.50 plus 15 cents per minute. Let y be the cost in dollars of using the cab for xxx minutes. Find the slope-intercept form of the equation.

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 slope of the line (if it exists) and the y-intercept (if it exists). - $y = - 1.8 x - 5.4$

(8,-2) ; m=- $\frac { 4 } { 5 }$

If $y = f ( x )$ , find $f ( 1 )$ .

Decide whether or not the equation defines y as a function of x. - $y = 2 x - 3$

Graph the equation. - $25 y=5 x+25$

The percent p of high school students who participate in sports at a public high school can be modeled by 10p - $24 x = 196$ ,where x is the number of years after 2010. Interpret the p intercept of the graph of this function.

For the function $y = f ( x )$ described by the table, find $f ( 2 )$ .

Determine a viewing window that will provide a complete graph of the function. - $y = 4.5 x ^ { 3 } + 12 x ^ { 2 } - 82$

$8 x-5=y$

A cab company charges a base rate of $\$ 1.50$ plus 15 cents per minute. Let y be the cost in dollars of using the cab for $x$ minutes. Find the slope-intercept form of the equation.