Question 1

If $y = f ( x )$, find $f ( 4 )$.

Accepted Answer

A)  $- 2$ 
B)  2 
C)  $- 3$ 
D)  3 
A)  $- 2$ 
B)  2 
C)  $- 3$ 
D)  3

Question 2

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by $$b = 35 - 0.4 t$$ where t is the number of years since 2010. What is the slope of the graph of this function? Write a sentence interpreting this value.

Accepted Answer

A)  35; The average consumption of beef in this town is decreasing by 35 pounds per person per year. 
B)  -0.4; The average consumption of beef in this town is increasing by 0.4 pounds per person per year. 
C)  35; The average consumption of beef in this town is increasing by 35 pounds per person per year. 
D)  -0.4; The average consumption of beef in this town is decreasing by 0.4 pounds per person per year. 
A)  35; The average consumption of beef in this town is decreasing by 35 pounds per person per year. 
B)  -0.4; The average consumption of beef in this town is increasing by 0.4 pounds per person per year. 
C)  35; The average consumption of beef in this town is increasing by 35 pounds per person per year. 
D)  -0.4; The average consumption of beef in this town is decreasing by 0.4 pounds per person per year.

Question 3

Write the equation of the line with the given conditions.
-passing through $( 2,4 )$ and perpendicular to the line with equation $- 4 x + y = 3$

Accepted Answer

A)  $y = - 4 x - 18$ 
B)  $y = \frac { 1 } { 4 } x - \frac { 9 } { 2 }$ 
C)  $y = - \frac { 1 } { 4 } x + \frac { 9 } { 2 }$ 
D)  $y = - \frac { 1 } { 4 } x - \frac { 9 } { 2 }$ 
A)  $y = - 4 x - 18$ 
B)  $y = \frac { 1 } { 4 } x - \frac { 9 } { 2 }$ 
C)  $y = - \frac { 1 } { 4 } x + \frac { 9 } { 2 }$ 
D)  $y = - \frac { 1 } { 4 } x - \frac { 9 } { 2 }$

Question 4

Using a phone card to make a long distance call costs a flat fee of $0.81 plus $0.16 per minute starting with the first minute. Find the total cost of a phone call which lasts 27 minutes.

Accepted Answer

A)  $27.13 
B)  $4.32 
C)  $22.03 
D)  $5.13 
A)  $27.13 
B)  $4.32 
C)  $22.03 
D)  $5.13

Question 5

Decide whether or not the equation defines y as a function of x.
-$y = \sqrt { 3 x - 7 }$

Accepted Answer

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

Question 6

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. State the domain of f. $$\begin{array} { c | c } 
\text { Year } & \text { Fee } \
\hline 2008 & \$ 22 \
2009 & \$ 24 \
2010 & \$ 26 \
2011 & \$ 26 \
2012 & \$ 30
\end{array}$$

Accepted Answer

A)  {(2008, 22), (2009, 24), (2010, 26), (2011, 26), (2012, 30)} 
B)  {2008, 2009, 2010, 2011, 2012} 
C)  {22, 24, 26, 30} 
D)  {(22, 2008), (24, 2009), (26, 2010), (26, 2011), (30, 2012)} 
A)  {(2008, 22), (2009, 24), (2010, 26), (2011, 26), (2012, 30)} 
B)  {2008, 2009, 2010, 2011, 2012} 
C)  {22, 24, 26, 30} 
D)  {(22, 2008), (24, 2009), (26, 2010), (26, 2011), (30, 2012)}

Question 7

A line passes through the points (3, 8) and (7, 8). The equation of this line is . The slope of the line is .

Accepted Answer

A)  $y = 8 ; 0$ 
B)  $x = 8$; undefined 
C)  $x = 8 ; 0$ 
D)  $y = 8$; undefined 
A)  $y = 8 ; 0$ 
B)  $x = 8$; undefined 
C)  $x = 8 ; 0$ 
D)  $y = 8$; undefined

Question 8

Determine whether or not the function is linear. If it is, determine the slope and interpret it.
-The population of a small town is given by P $\mathrm { P } ( \mathrm { t } ) = 59 \mathrm { t } + 12,350$ , where t is the number of years past 2010.

Accepted Answer

A)  Not linear 
B)  Linear; 59; Each year since 2010, the population decreased by 59 people. 
C)  Linear; 59; Each year since 2010, the population increased by 59 people. 
D)  Linear; 12,350; Each year since 2010, the population increased by 12,350 people. 
A)  Not linear 
B)  Linear; 59; Each year since 2010, the population decreased by 59 people. 
C)  Linear; 59; Each year since 2010, the population increased by 59 people. 
D)  Linear; 12,350; Each year since 2010, the population increased by 12,350 people.

Question 9

Find the slope of the line.
-

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

Use the table to answer the question.
-$$\begin{array} { l | c | c | c | c | c | c | c } 
x & - 6 & - 3 & - 1 & 0 & 1 & 5 & 16 \
\hline y = f ( x ) & - 25 & - 16 & - 10 & - 7 & - 4 & 8 & 41
\end{array}$$ Is f(16) an input or output of this function?

Accepted Answer

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

Question 12

The relationship between the number of units sold by a company and the profit is linear. If 5 units sold results in $110 profit and 37 units sold results in $814 profit, find the marginal profit.

Accepted Answer

A)  $- \$ 22 \text { per unit }$ 
B)  $44 per unit 
C)  $11.00 per unit 
D)  $22 per unit 
A)  $- \$ 22 \text { per unit }$ 
B)  $44 per unit 
C)  $11.00 per unit 
D)  $22 per unit

Question 13

Determine if the graph represents a function.
-

Accepted Answer

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

Question 14

The salary s of an employee in a given year y.

Accepted Answer

A)  No 
B)  Yes; y, s; there is one salary s in any given year y. 
A)  No 
B)  Yes; y, s; there is one salary s in any given year y.

Question 15

(4,2)  and  (10,2)

Accepted Answer

A)   10 x+4 y=0 
B)   x=4 
C)   4 x+10 y=0 
D)   y=2 
A)   10 x+4 y=0 
B)   x=4 
C)   4 x+10 y=0 
D)   y=2

Question 16

Using a phone card to make a long distance call costs a flat fee of $\$ 0.88$ plus $\$ 0.25$ per minute starting with the first minute. What is an equation of the form $y = m x + b$ for this situation?

Accepted Answer

A)  $y = 0.88 x + 0.25$ 
B)  $y = 0.25 x$ 
C)  $y = 0.25 x + 0.88$ 
D)  $y = 0.88 x$ 
A)  $y = 0.88 x + 0.25$ 
B)  $y = 0.25 x$ 
C)  $y = 0.25 x + 0.88$ 
D)  $y = 0.88 x$

Question 17

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

Accepted Answer

A)  $y = - x - 5$ 
B)  $y = x + 5$ 
C)  $y = - x + 5$ 
D)  $y = x - 5$ 
A)  $y = - x - 5$ 
B)  $y = x + 5$ 
C)  $y = - x + 5$ 
D)  $y = x - 5$

Question 18

Decide whether or not the set of ordered pairs defines a function.
-$\{ ( - 3,5 ) , ( - 2 , - 9 ) , ( 3 , - 8 ) , ( 3,6 ) \}$

Accepted Answer

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

Question 19

Graph the equation.
-$$y = \frac { 1 } { 5 } x - 2$$

Accepted Answer

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

Question 20

A line passes through the points (8, 5) and (8, 2). The equation of this line is . The slope of the line is .

Accepted Answer

A)  $x = 8$; undefined 
B)  $y = 8 ; 0$ 
C)  $\mathrm { y } = 8$; undefined 
D)  $x = 8 ; 0$ 
A)  $x = 8$; undefined 
B)  $y = 8 ; 0$ 
C)  $\mathrm { y } = 8$; undefined 
D)  $x = 8 ; 0$

If $y = f ( x )$ , find $f ( 4 )$ .

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by $b = 35 - 0.4 t$ where t is the number of years since 2010. What is the slope of the graph of this function? Write a sentence interpreting this value.

Write the equation of the line with the given conditions. -passing through $( 2,4 )$ and perpendicular to the line with equation $- 4 x + y = 3$

Using a phone card to make a long distance call costs a flat fee of $0.81 plus $0.16 per minute starting with the first minute. Find the total cost of a phone call which lasts 27 minutes.

Decide whether or not the equation defines y as a function of x. - $y = \sqrt { 3 x - 7 }$

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. State the domain of f. Year Fee 2008 \ 22 2009 \ 24 2010 \ 26 2011 \ 26 2012 \ 30

A line passes through the points (3, 8) and (7, 8). The equation of this line is . The slope of the line is .

Determine whether or not the function is linear. If it is, determine the slope and interpret it. -The population of a small town is given by P $\mathrm { P } ( \mathrm { t } ) = 59 \mathrm { t } + 12,350$ , where t is the number of years past 2010.

Find the slope of the line. -

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

Use the table to answer the question. - x -6 -3 -1 0 1 5 16 y=f(x) -25 -16 -10 -7 -4 8 41 Is f(16) an input or output of this function?

The relationship between the number of units sold by a company and the profit is linear. If 5 units sold results in $110 profit and 37 units sold results in $814 profit, find the marginal profit.

Determine if the graph represents a function. -

The salary s of an employee in a given year y.

(4,2) and (10,2)

Using a phone card to make a long distance call costs a flat fee of $\$ 0.88$ plus $\$ 0.25$ per minute starting with the first minute. What is an equation of the form $y = m x + b$ for this situation?

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

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3,5 ) , ( - 2 , - 9 ) , ( 3 , - 8 ) , ( 3,6 ) \}$

Graph the equation. - $y = \frac { 1 } { 5 } x - 2$ $Graph the equation. - y = \frac { 1 } { 5 } x - 2$

A line passes through the points (8, 5) and (8, 2). The equation of this line is . The slope of the line is .

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

If y=f(x)y = f ( x )y=f(x) , find f(4)f ( 4 )f(4) .

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by b=35−0.4tb = 35 - 0.4 tb=35−0.4t where t is the number of years since 2010. What is the slope of the graph of this function? Write a sentence interpreting this value.

Write the equation of the line with the given conditions. -passing through (2,4)( 2,4 )(2,4) and perpendicular to the line with equation −4x+y=3- 4 x + y = 3−4x+y=3

Using a phone card to make a long distance call costs a flat fee of $0.81 plus $0.16 per minute starting with the first minute. Find the total cost of a phone call which lasts 27 minutes.

Decide whether or not the equation defines y as a function of x. - y=3x−7y = \sqrt { 3 x - 7 }y=3x−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. State the domain of f. Year Fee 2008 \ 22 2009 \ 24 2010 \ 26 2011 \ 26 2012 \ 30

A line passes through the points (3, 8) and (7, 8). The equation of this line is . The slope of the line is .

Determine whether or not the function is linear. If it is, determine the slope and interpret it. -The population of a small town is given by P P(t)=59t+12,350\mathrm { P } ( \mathrm { t } ) = 59 \mathrm { t } + 12,350P(t)=59t+12,350 , where t is the number of years past 2010.

Find the slope of the line. -

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

Use the table to answer the question. - x -6 -3 -1 0 1 5 16 y=f(x) -25 -16 -10 -7 -4 8 41 Is f(16) an input or output of this function?

The relationship between the number of units sold by a company and the profit is linear. If 5 units sold results in $110 profit and 37 units sold results in $814 profit, find the marginal profit.

Determine if the graph represents a function. -

The salary s of an employee in a given year y.

(4,2) and (10,2)

Using a phone card to make a long distance call costs a flat fee of $0.88\$ 0.88$0.88 plus $0.25\$ 0.25$0.25 per minute starting with the first minute. What is an equation of the form y=mx+by = m x + by=mx+b for this situation?

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

Decide whether or not the set of ordered pairs defines a function. - {(−3,5),(−2,−9),(3,−8),(3,6)}\{ ( - 3,5 ) , ( - 2 , - 9 ) , ( 3 , - 8 ) , ( 3,6 ) \}{(−3,5),(−2,−9),(3,−8),(3,6)}

Graph the equation. - y=15x−2y = \frac { 1 } { 5 } x - 2y=51​x−2

A line passes through the points (8, 5) and (8, 2). The equation of this line is . The slope of the line is .

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

If $y = f ( x )$ , find $f ( 4 )$ .

In a certain town the annual consumption, b, of beef (in pounds per person) can be estimated by $b = 35 - 0.4 t$ where t is the number of years since 2010. What is the slope of the graph of this function? Write a sentence interpreting this value.

Write the equation of the line with the given conditions. -passing through $( 2,4 )$ and perpendicular to the line with equation $- 4 x + y = 3$

Decide whether or not the equation defines y as a function of x. - $y = \sqrt { 3 x - 7 }$

Determine whether or not the function is linear. If it is, determine the slope and interpret it. -The population of a small town is given by P $\mathrm { P } ( \mathrm { t } ) = 59 \mathrm { t } + 12,350$ , where t is the number of years past 2010.

Using a phone card to make a long distance call costs a flat fee of $\$ 0.88$ plus $\$ 0.25$ per minute starting with the first minute. What is an equation of the form $y = m x + b$ for this situation?

Decide whether or not the set of ordered pairs defines a function. - $\{ ( - 3,5 ) , ( - 2 , - 9 ) , ( 3 , - 8 ) , ( 3,6 ) \}$

Graph the equation. - $y = \frac { 1 } { 5 } x - 2$ $Graph the equation. - y = \frac { 1 } { 5 } x - 2$