Question 1

Find the domain and range of the relation. Also determine whether the relation is a function.
-

Accepted Answer

A)  domain: $\{ 4 \}$ range: $( - \infty , \infty )$; function 
B)  domain: $\{ 4 \}$ range: $( - \infty , \infty )$; not a function 
C)  domain: $( - \infty , \infty )$; range: $\{ 4 \}$; function 
D)  domain: $( - \infty , \infty )$; range: $\{ 4 \}$; not a function 
A)  domain: $\{ 4 \}$ range: $( - \infty , \infty )$; function 
B)  domain: $\{ 4 \}$ range: $( - \infty , \infty )$; not a function 
C)  domain: $( - \infty , \infty )$; range: $\{ 4 \}$; function 
D)  domain: $( - \infty , \infty )$; range: $\{ 4 \}$; not a function

Question 2

Write an equation of the line using function notation.
-Slope 0; through $( 9 , - 8 )$

Accepted Answer

A)  $f ( x ) = - 8$ 
B)  $f ( x ) = 9$ 
C)  $x = - 8$ 
D)  $x = 9$ 
A)  $f ( x ) = - 8$ 
B)  $f ( x ) = 9$ 
C)  $x = - 8$ 
D)  $x = 9$

Question 3

Solve.
-A vendor has learned that, by pricing carmel apples at $\$ 1.25$, sales will reach 91 carmel apples per day. Raising the price to $\$ 2.25$ will cause the sales to fall to 43 carmel apples per day. Let $y$ be the number of carmel apples the vendor sells at $x$ dollars each. Write a linear equation that relates the number sold $y$ to the price $x$.

Accepted Answer

A)  $y = - 48 x - 151$ 
B)  $y = 48 x + 31$ 
C)  $y = - 48 x + 151$ 
D)  $y = - \frac { 1 } { 48 } x + \frac { 17467 } { 192 }$ 
A)  $y = - 48 x - 151$ 
B)  $y = 48 x + 31$ 
C)  $y = - 48 x + 151$ 
D)  $y = - \frac { 1 } { 48 } x + \frac { 17467 } { 192 }$

Question 4

Use the graph of the function to find the value.  
-Find f(3).

Accepted Answer

A)  5 
B)  1 
C)  4 
D)  -5 
A)  5 
B)  1 
C)  4 
D)  -5

Question 5

Find an equation of the line satisfying the given conditions. Write the equation using function notation.
-Through $( - 20,5 )$ and $( - 28,7 )$

Accepted Answer

A)  $f ( x ) = - 4 x - 1$ 
B)  $f ( x ) = - 4 x$ 
C)  $f ( x ) = - \frac { 1 } { 4 } x$ 
D)  $f ( x ) = \frac { 1 } { 4 } x$ 
A)  $f ( x ) = - 4 x - 1$ 
B)  $f ( x ) = - 4 x$ 
C)  $f ( x ) = - \frac { 1 } { 4 } x$ 
D)  $f ( x ) = \frac { 1 } { 4 } x$

Question 6

Find an equation of the line satisfying the given conditions. Write the equation in standard form.
-Through $\left( 0 , \frac { 37 } { 13 } \right) ;$ slope $- \frac { 7 } { 13 }$

Accepted Answer

A)  $13 x - 7 y = 37$ 
B)  $- 7 x + 13 y = 37$ 
C)  $7 x + 13 y = 37$ 
D)  $13 x + 7 y = 37$ 
A)  $13 x - 7 y = 37$ 
B)  $- 7 x + 13 y = 37$ 
C)  $7 x + 13 y = 37$ 
D)  $13 x + 7 y = 37$

Question 7

Solve.
-The amount of water in a leaky bucket is given by the linear function f(t) = 125 - 9t, where f(t) is in ounces and t is in minutes. Find the amount of water in the bucket after 9 minutes.

Accepted Answer

A)  81 ounces 
B)  44 ounces 
C)  206 ounces 
D)  116 ounces 
A)  81 ounces 
B)  44 ounces 
C)  206 ounces 
D)  116 ounces

Question 8

Match the linear function with its graph.
-$f ( x ) = - 2 x - 3$

Accepted Answer

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

Question 9

Find an equation of the line. Write the equation using function notation.
-Through $( 5,5 )$; parallel to $f ( x ) = 2 x - 6$

Accepted Answer

A)  $f ( x ) = 2 x + 5$ 
B)  $f ( x ) = 2 x + 15$ 
C)  $f ( x ) = - 2 x - 5$ 
D)  $f ( x ) = 2 x - 5$ 
A)  $f ( x ) = 2 x + 5$ 
B)  $f ( x ) = 2 x + 15$ 
C)  $f ( x ) = - 2 x - 5$ 
D)  $f ( x ) = 2 x - 5$

Question 10

Write an equation to describe the variation. Use k for the constant of proportionality.
-r varies directly as the square of s and inversely as the cube of $t$.

Accepted Answer

A)  $\mathrm { rs } ^ { 2 } \mathrm { t } ^ { 3 } = \mathrm { k }$ 
B)  $r = \frac { k s ^ { 2 } } { t ^ { 3 } }$ 
C)  $r + s ^ { 2 } - t ^ { 3 } = k$ 
D)  $r = \frac { k t ^ { 3 } } { s ^ { 2 } }$ 
A)  $\mathrm { rs } ^ { 2 } \mathrm { t } ^ { 3 } = \mathrm { k }$ 
B)  $r = \frac { k s ^ { 2 } } { t ^ { 3 } }$ 
C)  $r + s ^ { 2 } - t ^ { 3 } = k$ 
D)  $r = \frac { k t ^ { 3 } } { s ^ { 2 } }$

Question 11

Solve.
-The average value of a certain type of automobile was $\$ 20,640$ in 2006 and depreciated to $\$ 11,340$ in 2010 . Let $y$ be the average value of the automobile in the year $x$, where $x = 0$ represents 2006 . Write a linear equation that relates value $\mathrm { y }$ to year $\mathrm { x }$.

Accepted Answer

A)  $y = - 2325 x + 2040$ 
B)  $y = - 2325 x + 11,340$ 
C)  $y = - \frac { 1 } { 2325 } x - 11340$ 
D)  $y = - 2325 x + 20,640$ 
A)  $y = - 2325 x + 2040$ 
B)  $y = - 2325 x + 11,340$ 
C)  $y = - \frac { 1 } { 2325 } x - 11340$ 
D)  $y = - 2325 x + 20,640$

Question 12

Solve.
-The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 100 seconds with an average speed of 3 feet Per second. Find the average speed of the swimmer if it takes 75 seconds to finish the race.

Accepted Answer

A)  6 feet per second 
B)  4 feet per second 
C)  3 feet per second 
D)  5 feet per second 
A)  6 feet per second 
B)  4 feet per second 
C)  3 feet per second 
D)  5 feet per second

Question 13

Match the linear function with its graph.
-$f ( x ) = - 5 x + 8$

Accepted Answer

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

Question 14

Solve.
-The voltage across a resistor is jointly proportional to the resistance of the resistor and the current flowing through the resistor. If the voltage across a resistor is 12 volts for a resistor whose Resistance is 2 ohms and when the current flowing through the resistor is 6 amperes, find the Voltage across a resistor whose resistance is 4 ohms and when the current flowing through the
Resistor is 5 amperes.

Accepted Answer

A)  30 volts 
B)  10 volts 
C)  24 volts 
D)  20 volts 
A)  30 volts 
B)  10 volts 
C)  24 volts 
D)  20 volts

Question 15

Solve.
-The amount of simple interest earned on an investment over a fixed amount of time is jointly proportional to the principle invested and the interest rate. A principle investment of $4000.00 with An interest rate of 3% earned $240.00 in simple interest. Find the amount of simple interest earned if The principle is $2400.00 and the interest rate is 1%.

Accepted Answer

A)  $48.00 
B)  $144.00 
C)  $80.00 
D)  $4800.00 
A)  $48.00 
B)  $144.00 
C)  $80.00 
D)  $4800.00

Question 16

Find the equation of the line. Write the equation using standard notation.
-Through $( - 12,10 )$; parallel to $\mathrm { y } = 3$

Accepted Answer

A)  $x = 10$ 
B)  $\mathrm { y } = 10$ 
C)  $x = - 12$ 
D)  $\mathrm { y } = - 12$ 
A)  $x = 10$ 
B)  $\mathrm { y } = 10$ 
C)  $x = - 12$ 
D)  $\mathrm { y } = - 12$

Question 17

Find the domain and range of the relation. Also determine whether the relation is a function.
-

Accepted Answer

A)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$; function 
B)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$; not a function 
C)  domain: $( 0 , \infty )$; range: $( 0 , \infty )$; function 
D)  domain: $( - \infty , \infty )$; range: $( 0 , \infty )$; not a function 
A)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$; function 
B)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$; not a function 
C)  domain: $( 0 , \infty )$; range: $( 0 , \infty )$; function 
D)  domain: $( - \infty , \infty )$; range: $( 0 , \infty )$; not a function

Question 18

Find the equation of the line. Write the equation using standard notation.
-Through $( 12,8 )$; perpendicular to $x = 3$

Accepted Answer

A)  $x = 8$ 
B)  $y = 8$ 
C)  $x = 12$ 
D)  $y = 12$ 
A)  $x = 8$ 
B)  $y = 8$ 
C)  $x = 12$ 
D)  $y = 12$

Question 19

Graph the function.
-$h(x)=-2 x+7$

Accepted Answer

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

Question 20

Use the graph to determine the domain and range of the function.
-

Accepted Answer

A)  Domain: $( - \infty , \infty )$; range: $( - \infty , - 5 ]$ 
B)  Domain: $( - \infty , \infty )$; range: $[ - 5 , \infty )$ 
C)  Domain: $( - \infty , \infty )$; range: $( 2 , \infty )$ 
D)  Domain: $( - \infty , 0 ) \cup ( 0 , \infty ) ; ;$ range: $( - 5 , \infty )$ 
A)  Domain: $( - \infty , \infty )$; range: $( - \infty , - 5 ]$ 
B)  Domain: $( - \infty , \infty )$; range: $[ - 5 , \infty )$ 
C)  Domain: $( - \infty , \infty )$; range: $( 2 , \infty )$ 
D)  Domain: $( - \infty , 0 ) \cup ( 0 , \infty ) ; ;$ range: $( - 5 , \infty )$

Find the domain and range of the relation. Also determine whether the relation is a function. -

Write an equation of the line using function notation. -Slope 0; through $( 9 , - 8 )$

Use the graph of the function to find the value. -Find f(3).

Find an equation of the line satisfying the given conditions. Write the equation using function notation. -Through $( - 20,5 )$ and $( - 28,7 )$

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Through $\left( 0 , \frac { 37 } { 13 } \right) ;$ slope $- \frac { 7 } { 13 }$

Solve. -The amount of water in a leaky bucket is given by the linear function f(t) = 125 - 9t, where f(t) is in ounces and t is in minutes. Find the amount of water in the bucket after 9 minutes.

Match the linear function with its graph. - $f ( x ) = - 2 x - 3$

Find an equation of the line. Write the equation using function notation. -Through $( 5,5 )$ ; parallel to $f ( x ) = 2 x - 6$

Write an equation to describe the variation. Use k for the constant of proportionality. -r varies directly as the square of s and inversely as the cube of $t$ .

Solve. -The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 100 seconds with an average speed of 3 feet Per second. Find the average speed of the swimmer if it takes 75 seconds to finish the race.

Match the linear function with its graph. - $f ( x ) = - 5 x + 8$

Find the equation of the line. Write the equation using standard notation. -Through $( - 12,10 )$ ; parallel to $\mathrm { y } = 3$

Find the domain and range of the relation. Also determine whether the relation is a function. -

Find the equation of the line. Write the equation using standard notation. -Through $( 12,8 )$ ; perpendicular to $x = 3$

Graph the function. - $h(x)=-2 x+7$

Use the graph to determine the domain and range of the function. -

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 8: More on Functions and Graphs

Find the domain and range of the relation. Also determine whether the relation is a function. -

Write an equation of the line using function notation. -Slope 0; through (9,−8)( 9 , - 8 )(9,−8)

Use the graph of the function to find the value. -Find f(3).

Find an equation of the line satisfying the given conditions. Write the equation using function notation. -Through (−20,5)( - 20,5 )(−20,5) and (−28,7)( - 28,7 )(−28,7)

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Through (0,3713);\left( 0 , \frac { 37 } { 13 } \right) ;(0,1337​); slope −713- \frac { 7 } { 13 }−137​

Solve. -The amount of water in a leaky bucket is given by the linear function f(t) = 125 - 9t, where f(t) is in ounces and t is in minutes. Find the amount of water in the bucket after 9 minutes.

Match the linear function with its graph. - f(x)=−2x−3f ( x ) = - 2 x - 3f(x)=−2x−3

Find an equation of the line. Write the equation using function notation. -Through (5,5)( 5,5 )(5,5) ; parallel to f(x)=2x−6f ( x ) = 2 x - 6f(x)=2x−6

Write an equation to describe the variation. Use k for the constant of proportionality. -r varies directly as the square of s and inversely as the cube of ttt .

Solve. -The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 100 seconds with an average speed of 3 feet Per second. Find the average speed of the swimmer if it takes 75 seconds to finish the race.

Match the linear function with its graph. - f(x)=−5x+8f ( x ) = - 5 x + 8f(x)=−5x+8

Find the equation of the line. Write the equation using standard notation. -Through (−12,10)( - 12,10 )(−12,10) ; parallel to y=3\mathrm { y } = 3y=3

Find the domain and range of the relation. Also determine whether the relation is a function. -

Find the equation of the line. Write the equation using standard notation. -Through (12,8)( 12,8 )(12,8) ; perpendicular to x=3x = 3x=3

Graph the function. - h(x)=−2x+7h(x)=-2 x+7h(x)=−2x+7

Use the graph to determine the domain and range of the function. -

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Write an equation of the line using function notation. -Slope 0; through $( 9 , - 8 )$

Find an equation of the line satisfying the given conditions. Write the equation using function notation. -Through $( - 20,5 )$ and $( - 28,7 )$

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Through $\left( 0 , \frac { 37 } { 13 } \right) ;$ slope $- \frac { 7 } { 13 }$

Match the linear function with its graph. - $f ( x ) = - 2 x - 3$

Find an equation of the line. Write the equation using function notation. -Through $( 5,5 )$ ; parallel to $f ( x ) = 2 x - 6$

Write an equation to describe the variation. Use k for the constant of proportionality. -r varies directly as the square of s and inversely as the cube of $t$ .

Match the linear function with its graph. - $f ( x ) = - 5 x + 8$

Find the equation of the line. Write the equation using standard notation. -Through $( - 12,10 )$ ; parallel to $\mathrm { y } = 3$

Find the equation of the line. Write the equation using standard notation. -Through $( 12,8 )$ ; perpendicular to $x = 3$

Graph the function. - $h(x)=-2 x+7$