Question 1

Decide whether or not the set of ordered pairs defines a function.
-$\{ ( - 3 , - 6 ) , ( 2 , - 8 ) , ( 6,6 ) , ( 8 , - 4 ) , ( 12 , - 1 ) \}$

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.
-$-4 x-20 y=20$

Accepted Answer

A)  $\mathrm { x } : - 1 ; \mathrm { y } : - 5$
  
B)  $x : - 5 ; y : - 1$
  
C)  $x : - 1 ; y : 5$
  
D)  $\mathrm { x } : 5 ; \mathrm { y } : - 1$
  
A)  $\mathrm { x } : - 1 ; \mathrm { y } : - 5$
  
B)  $x : - 5 ; y : - 1$
  
C)  $x : - 1 ; y : 5$
  
D)  $\mathrm { x } : 5 ; \mathrm { y } : - 1$

Question 4

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

Accepted Answer

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

Question 5

Employees of a publishing company received an increase in salary of 7% plus a bonus of $700. Let S(x) = 1.07x + 700 represent the new salary in terms of the previous salary x. Find and interpret S(13,000).

Accepted Answer

A)  $13,700; If an employee's old salary was $13,000, then his/her new salary was $13,700 after the increase and bonus. 
B)  $11,495; If an employee's old salary was $11,495, then his/her new salary was $13,000 after the increase and bonus. 
C)  $14,610; If an employee's old salary was $13,000, then his/her new salary was $14,610 after the increase and bonus. 
D)  $22,800; If an employee's old salary was $22,800, then his/her new salary was $13,000 after the increase and bonus. 
A)  $13,700; If an employee's old salary was $13,000, then his/her new salary was $13,700 after the increase and bonus. 
B)  $11,495; If an employee's old salary was $11,495, then his/her new salary was $13,000 after the increase and bonus. 
C)  $14,610; If an employee's old salary was $13,000, then his/her new salary was $14,610 after the increase and bonus. 
D)  $22,800; If an employee's old salary was $22,800, then his/her new salary was $13,000 after the increase and bonus.

Question 6

Determine whether or not the relationship shown in the table is a function.
-$$\begin{array} { l | c c c c c c c } 
\text { January } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { Weight (lbs) } & 197 & 196 & 198 & 197 & 196 & 195 & 194
\end{array}$$ Does the table define weight as a function of the day in January?

Accepted Answer

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

Question 7

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 the value of x when $f ( x ) = \$ 23$ $$\begin{array} { c | c } 
\text { Year } & \text { Fee } \
\hline 2008 & \$ 20 \
2009 & \$ 23 \
2010 & \$ 25 \
2011 & \$ 25 \
2012 & \$ 30
\end{array}$$

Accepted Answer

A)  2011 
B)  2012 
C)  2010 
D)  2009 
A)  2011 
B)  2012 
C)  2010 
D)  2009

Question 8

Decide whether or not the set of ordered pairs defines a function.
-$\{ ( - 3,8 ) , ( - 2 , - 3 ) , ( 1,3 ) , ( 1 , - 5 ) \}$

Accepted Answer

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

Question 9

Write the equation of the line whose graph is shown.
-

Accepted Answer

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

Question 10

Determine whether or not the relationship shown in the table is a function.
-$$\begin{array} { l | c c c c c c c } 
\text { Number of Classes Missed } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { Average Final Exam Score } & 80 & 78 & 81 & 74 & 73 & 70 & 65
\end{array}$$ Does the table define the number of classes missed as a function of the average final exam score?

Accepted Answer

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

Question 11

The cost of tuition at a community college is given $$C ( x ) = 490 + 54 x$$ x, where x is the number of credit hours. Interpret the slope of this function as a rate of change.

Accepted Answer

A)  The tuition at the community college increases by $490 for each additional credit hour. 
B)  The tuition at the community college increases by $490 for each additional 54 credit hours. 
C)  The number of credit hours increases by 54 for each increase of $490 in tuition. 
D)  The tuition at the community college increases by $54 for each additional credit hour. 
A)  The tuition at the community college increases by $490 for each additional credit hour. 
B)  The tuition at the community college increases by $490 for each additional 54 credit hours. 
C)  The number of credit hours increases by 54 for each increase of $490 in tuition. 
D)  The tuition at the community college increases by $54 for each additional credit hour.

Question 12

. Use the slope and either of the two points in the
point-slope form of the equation.
-The total number of reported cases of AIDS in the United States has risen from 372 in 2001 to 100,000 in 2009
and 200,000 in 2012. Does a linear equation fit this data? Explain.

Accepted Answer

No, the data cannot be modeled by a line

Question 13

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

Accepted Answer

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

Question 14

The population of a small town can be modeled by P $P = - 32 t + 13,500$ where t is the number of years since 2010. Interpret the P-intercept of the graph of this function.

Accepted Answer

A)  The population of the town is increasing by 32 people per year. 
B)  The population of the town was 13,500 in 2010. 
C)  The population of the town was 32,000 in 2010. 
D)  The population of the town is decreasing by 32 people per year. 
A)  The population of the town is increasing by 32 people per year. 
B)  The population of the town was 13,500 in 2010. 
C)  The population of the town was 32,000 in 2010. 
D)  The population of the town is decreasing by 32 people per year.

Question 15

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
-$( - 5,0 ) ; m = - 7$

Accepted Answer

A)  $y = 7 x - 5$ 
B)  $y = - 7 x - 35$ 
C)  $y = 5 x - 7$ 
D)  $y = - 5 x - 7$ 
A)  $y = 7 x - 5$ 
B)  $y = - 7 x - 35$ 
C)  $y = 5 x - 7$ 
D)  $y = - 5 x - 7$

Question 16

Determine whether or not the relationship shown in the table is a function.
-$$\begin{array} { l | c c c c c c c } 
\text { January } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { Weight (lbs) } & 218 & 217 & 219 & 218 & 217 & 216 & 215
\end{array}$$ Does the table define the day in January as a function of weight?

Accepted Answer

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

Question 17

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and
why the relationship is a function.
-The salary s of an employee on her hiring date d.

Accepted Answer

A)  No 
B)  Yes; d, s; there is one salary s on the hiring date d. 
A)  No 
B)  Yes; d, s; there is one salary s on the hiring date d.

Question 18

Decide whether or not the set of ordered pairs defines a function.
-$\{ ( - 6 , - 9 ) , ( - 6 , - 4 ) , ( 1,4 ) , ( 6 , - 4 ) , ( 8 , - 1 ) \}$

Accepted Answer

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

Question 19

Find the average rate of change for the function over the given interval.
-$y = 5 x + 7$ between $x = - 1$ and $x = 0$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 1 } { 6 }$ 
C)  $- 28$ 
D)  5 
A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 1 } { 6 }$ 
C)  $- 28$ 
D)  5

Question 20

Determine whether or not the relationship shown in the table is a function.
-$$\begin{array} { l | c c c c } 
\text { Down payment (\%) } & 5 & 10 & 20 & 25 \
\hline \text { Price of Home (\$) } & 102,700 & 122,900 & 158,400 & 169,000
\end{array}$$ Does the table define the price of a home that a particular family can afford as a function of the percent down payment?

Accepted Answer

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

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3 , - 6 ) , ( 2 , - 8 ) , ( 6,6 ) , ( 8 , - 4 ) , ( 12 , - 1 ) \}$

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

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $-4 x-20 y=20$

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

Employees of a publishing company received an increase in salary of 7% plus a bonus of $700. Let S(x) = 1.07x + 700 represent the new salary in terms of the previous salary x. Find and interpret S(13,000).

Determine whether or not the relationship shown in the table is a function. - January 1 2 3 4 5 6 7 Weight (lbs) 197 196 198 197 196 195 194 Does the table define weight as a function of the day in January?

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 the value of x when $f ( x ) = \$ 23$ Year Fee 2008 \ 20 2009 \ 23 2010 \ 25 2011 \ 25 2012 \ 30

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3,8 ) , ( - 2 , - 3 ) , ( 1,3 ) , ( 1 , - 5 ) \}$

Write the equation of the line whose graph is shown. -

Determine whether or not the relationship shown in the table is a function. - Number of Classes Missed 1 2 3 4 5 6 7 Average Final Exam Score 80 78 81 74 73 70 65 Does the table define the number of classes missed as a function of the average final exam score?

The cost of tuition at a community college is given $C ( x ) = 490 + 54 x$ x, where x is the number of credit hours. Interpret the slope of this function as a rate of change.

. Use the slope and either of the two points in the point-slope form of the equation. -The total number of reported cases of AIDS in the United States has risen from 372 in 2001 to 100,000 in 2009 and 200,000 in 2012. Does a linear equation fit this data? Explain.

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

The population of a small town can be modeled by P $P = - 32 t + 13,500$ where t is the number of years since 2010. Interpret the P-intercept of the graph of this function.

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( - 5,0 ) ; m = - 7$

Determine whether or not the relationship shown in the table is a function. - January 1 2 3 4 5 6 7 Weight (lbs) 218 217 219 218 217 216 215 Does the table define the day in January as a function of weight?

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -The salary s of an employee on her hiring date d.

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 6 , - 9 ) , ( - 6 , - 4 ) , ( 1,4 ) , ( 6 , - 4 ) , ( 8 , - 1 ) \}$

Find the average rate of change for the function over the given interval. - $y = 5 x + 7$ between $x = - 1$ and $x = 0$

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

Decide whether or not the set of ordered pairs defines a function. - {(−3,−6),(2,−8),(6,6),(8,−4),(12,−1)}\{ ( - 3 , - 6 ) , ( 2 , - 8 ) , ( 6,6 ) , ( 8 , - 4 ) , ( 12 , - 1 ) \}{(−3,−6),(2,−8),(6,6),(8,−4),(12,−1)}

Decide whether or not the equation defines y as a function of x. - x2+y=−6x ^ { 2 } + y = - 6x2+y=−6

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - −4x−20y=20-4 x-20 y=20−4x−20y=20

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

Employees of a publishing company received an increase in salary of 7% plus a bonus of $700. Let S(x) = 1.07x + 700 represent the new salary in terms of the previous salary x. Find and interpret S(13,000).

Determine whether or not the relationship shown in the table is a function. - January 1 2 3 4 5 6 7 Weight (lbs) 197 196 198 197 196 195 194 Does the table define weight as a function of the day in January?

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 the value of x when f(x)=$23f ( x ) = \$ 23f(x)=$23 Year Fee 2008 \ 20 2009 \ 23 2010 \ 25 2011 \ 25 2012 \ 30

Decide whether or not the set of ordered pairs defines a function. - {(−3,8),(−2,−3),(1,3),(1,−5)}\{ ( - 3,8 ) , ( - 2 , - 3 ) , ( 1,3 ) , ( 1 , - 5 ) \}{(−3,8),(−2,−3),(1,3),(1,−5)}

Write the equation of the line whose graph is shown. -

Determine whether or not the relationship shown in the table is a function. - Number of Classes Missed 1 2 3 4 5 6 7 Average Final Exam Score 80 78 81 74 73 70 65 Does the table define the number of classes missed as a function of the average final exam score?

The cost of tuition at a community college is given C(x)=490+54xC ( x ) = 490 + 54 xC(x)=490+54x x, where x is the number of credit hours. Interpret the slope of this function as a rate of change.

. Use the slope and either of the two points in the point-slope form of the equation. -The total number of reported cases of AIDS in the United States has risen from 372 in 2001 to 100,000 in 2009 and 200,000 in 2012. Does a linear equation fit this data? Explain.

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

The population of a small town can be modeled by P P=−32t+13,500P = - 32 t + 13,500P=−32t+13,500 where t is the number of years since 2010. Interpret the P-intercept of the graph of this function.

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - (−5,0);m=−7( - 5,0 ) ; m = - 7(−5,0);m=−7

Determine whether or not the relationship shown in the table is a function. - January 1 2 3 4 5 6 7 Weight (lbs) 218 217 219 218 217 216 215 Does the table define the day in January as a function of weight?

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function. -The salary s of an employee on her hiring date d.

Decide whether or not the set of ordered pairs defines a function. - {(−6,−9),(−6,−4),(1,4),(6,−4),(8,−1)}\{ ( - 6 , - 9 ) , ( - 6 , - 4 ) , ( 1,4 ) , ( 6 , - 4 ) , ( 8 , - 1 ) \}{(−6,−9),(−6,−4),(1,4),(6,−4),(8,−1)}

Find the average rate of change for the function over the given interval. - y=5x+7y = 5 x + 7y=5x+7 between x=−1x = - 1x=−1 and x=0x = 0x=0

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

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3 , - 6 ) , ( 2 , - 8 ) , ( 6,6 ) , ( 8 , - 4 ) , ( 12 , - 1 ) \}$

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

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation. - $-4 x-20 y=20$

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 the value of x when $f ( x ) = \$ 23$ Year Fee 2008 \ 20 2009 \ 23 2010 \ 25 2011 \ 25 2012 \ 30

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3,8 ) , ( - 2 , - 3 ) , ( 1,3 ) , ( 1 , - 5 ) \}$

The cost of tuition at a community college is given $C ( x ) = 490 + 54 x$ x, where x is the number of credit hours. Interpret the slope of this function as a rate of change.

The population of a small town can be modeled by P $P = - 32 t + 13,500$ where t is the number of years since 2010. Interpret the P-intercept of the graph of this function.

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. - $( - 5,0 ) ; m = - 7$

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 6 , - 9 ) , ( - 6 , - 4 ) , ( 1,4 ) , ( 6 , - 4 ) , ( 8 , - 1 ) \}$

Find the average rate of change for the function over the given interval. - $y = 5 x + 7$ between $x = - 1$ and $x = 0$