Question 1

Rewrite the given equation in slope-intercept form by solving for y.
-x + y = -7

Accepted Answer

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

Question 2

Solve the problem.
-A firm making toaster ovens finds that the total cost, C(x), of producing x units is given by C(x) = 25x + 340. The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thus R(x) = 35x. Find and interpret (R -C)(78).

Accepted Answer

A)  $5020 profit, income exceeds cost 
B)  -$440 loss, cost exceeds income 
C)  $112 profit, income exceeds cost 
D)  $440 profit, income exceeds cost 
A)  $5020 profit, income exceeds cost 
B)  -$440 loss, cost exceeds income 
C)  $112 profit, income exceeds cost 
D)  $440 profit, income exceeds cost

Question 3

Decide whether the relation is a function.
-Find $f ( - 2 )$ when $f ( x ) = \frac { x ^ { 2 } - 2 } { x ^ { 3 } - 2 x }$.

Accepted Answer

A)  $- \frac { 1 } { 4 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 5 }$ 
D)  - 1 
A)  $- \frac { 1 } { 4 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 5 }$ 
D)  - 1

Question 4

Find the requested value.
-$$f ( x ) = x - 2 , g ( x ) = x - 6$$
Find $( f + g ) ( 2 )$.

Accepted Answer

A)  0 
B)  12 
C)  8 
D)  $- 4$ 
A)  0 
B)  12 
C)  8 
D)  $- 4$

Question 5

Find the slope of the line that goes through the given points.
-$( 5,5 )$ and $( 8 , k ) , \quad m = - \frac { 2 } { 3 }$

Accepted Answer

A)  $k = 3$ 
B)  $k = - \frac { 1 } { 2 }$ 
C)  $k = - 3$ 
D)  $k = \frac { 1 } { 2 }$ 
A)  $k = 3$ 
B)  $k = - \frac { 1 } { 2 }$ 
C)  $k = - 3$ 
D)  $k = \frac { 1 } { 2 }$

Question 6

Use the vertical line test to determine whether or not the graph is a graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 7

Solve the problem.
-From April through December, the stock price of QRS Company had a roller coaster ride. The chart below indicates the price of the stock at the beginning of each month during that period. Find the monthly average rate of change in price between April and December. Stock Price of QRS Company from April through December

Accepted Answer

A)  $- \$ 6.25$ per month 
B)  $\$ 5.56$ per month 
C)  $\$ 6.25$ per month 
D)  $- \$ 5.56$ per month 
A)  $- \$ 6.25$ per month 
B)  $\$ 5.56$ per month 
C)  $\$ 6.25$ per month 
D)  $- \$ 5.56$ per month

Question 8

Rewrite the given equation in slope-intercept form by solving for y.
-9x - 5y = 0

Accepted Answer

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

Question 9

Use the vertical line test to determine whether or not the graph is a graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 10

Decide whether the relation is a function.
-{(-7, 1), (-7, 4), (1, -8), (3, 9), (9, -3)}

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 11

Find the indicated function value.
-$$f ( x ) = x + 2 , g ( x ) = x + 7$$
Find $( f + g ) ( 1 )$.

Accepted Answer

A)  11 
B)  $- 7$ 
C)  7 
D)  $- 3$ 
A)  11 
B)  $- 7$ 
C)  7 
D)  $- 3$

Question 12

Graph the equation in the rectangular coordinate system.
-$$f ( x ) = 3$$

Accepted Answer

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

Question 13

Rewrite the given equation in slope-intercept form by solving for y.
-

Accepted Answer

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

Question 14

Find the domain and range.
-{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}

Accepted Answer

A)  domain: {10, 5, 1, 17}; range: {-3, -2, 2, 4} 
B)  domain: {10, 5, 1, 17}; range: {-3, -2, 0, 2, 4} 
C)  domain: {-3, -2, 0, 2, 4}; range: {10, 5, 1, 17} 
D)  domain: {-3, -2, 2, 4}; range: {10, 5, 1, 17} 
A)  domain: {10, 5, 1, 17}; range: {-3, -2, 2, 4} 
B)  domain: {10, 5, 1, 17}; range: {-3, -2, 0, 2, 4} 
C)  domain: {-3, -2, 0, 2, 4}; range: {10, 5, 1, 17} 
D)  domain: {-3, -2, 2, 4}; range: {10, 5, 1, 17}

Question 15

Decide whether the relation is a function.
-{(-9, 3), (-9, 7), (-1, 5), (5, 1), (9, -6)}

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 16

Decide whether the relation is a function.
-Find f(1) when f(x) = 8x - 6.

Accepted Answer

A)  7.4 
B)  -14 
C)  2 
D)  14 
A)  7.4 
B)  -14 
C)  2 
D)  14

Question 17

Find the domain and range.
-{(6,-8), (1,3), (-9,-9), (-2,2), (5,-6)}

Accepted Answer

A)  domain = {6, -8, 5, -6, -9}; range = {-9, 1, 3, -2, 2} 
B)  domain = {-8, -6, -9, 3, 2}; range = {6, 5, -9, 1, -2} 
C)  domain = {-9, 1, 3, -2, 2}; range = {6, -8, 5, -6, -9} 
D)  domain = {6, 5, -9, 1, -2}; range = {-8, -6, -9, 3, 2} 
A)  domain = {6, -8, 5, -6, -9}; range = {-9, 1, 3, -2, 2} 
B)  domain = {-8, -6, -9, 3, 2}; range = {6, 5, -9, 1, -2} 
C)  domain = {-9, 1, 3, -2, 2}; range = {6, -8, 5, -6, -9} 
D)  domain = {6, 5, -9, 1, -2}; range = {-8, -6, -9, 3, 2}

Question 18

Use intercepts and a checkpoint to graph the linear function.
-x + 4y = 8

Accepted Answer

A)  $( 0,2 ) , ( 8,0 )$
  
B)  $( 0,2 ) , ( - 2,0 )$
  
C)  $( 0 , - 8 ) , ( 8,0 )$
  
D)  $( 0,2 ) , ( - 8,0 )$
  
A)  $( 0,2 ) , ( 8,0 )$
  
B)  $( 0,2 ) , ( - 2,0 )$
  
C)  $( 0 , - 8 ) , ( 8,0 )$
  
D)  $( 0,2 ) , ( - 8,0 )$

Question 19

Decide whether the relation is a function.
-{(-3, -9), (-1, -8), (4, 9), (5, 1)}

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 20

Decide whether the relation is a function.
-Find f(2) when f(x) = x² + 3x - 3.

Accepted Answer

A)  13 
B)  7 
C)  -5 
D)  1 
A)  13 
B)  7 
C)  -5 
D)  1

Rewrite the given equation in slope-intercept form by solving for y. -x + y = -7

Solve the problem. -A firm making toaster ovens finds that the total cost, C(x), of producing x units is given by C(x) = 25x + 340. The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thus R(x) = 35x. Find and interpret (R -C)(78).

Decide whether the relation is a function. -Find $f ( - 2 )$ when $f ( x ) = \frac { x ^ { 2 } - 2 } { x ^ { 3 } - 2 x }$ .

Find the requested value. - $f ( x ) = x - 2 , g ( x ) = x - 6$ Find $( f + g ) ( 2 )$ .

Find the slope of the line that goes through the given points. - $( 5,5 )$ and $( 8 , k ) , \quad m = - \frac { 2 } { 3 }$

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Rewrite the given equation in slope-intercept form by solving for y. -9x - 5y = 0

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Decide whether the relation is a function. -{(-7, 1), (-7, 4), (1, -8), (3, 9), (9, -3)}

Find the indicated function value. - $f ( x ) = x + 2 , g ( x ) = x + 7$ Find $( f + g ) ( 1 )$ .

Graph the equation in the rectangular coordinate system. - $f ( x ) = 3$

Rewrite the given equation in slope-intercept form by solving for y. -

Find the domain and range. -{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}

Decide whether the relation is a function. -{(-9, 3), (-9, 7), (-1, 5), (5, 1), (9, -6)}

Decide whether the relation is a function. -Find f(1) when f(x) = 8x - 6.

Find the domain and range. -{(6,-8), (1,3), (-9,-9), (-2,2), (5,-6)}

Use intercepts and a checkpoint to graph the linear function. -x + 4y = 8

Decide whether the relation is a function. -{(-3, -9), (-1, -8), (4, 9), (5, 1)}

Decide whether the relation is a function. -Find f(2) when f(x) = x² + 3x - 3.

Algebra, Mathematical Models, and Problem Solving

Systems of Linear Equations

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Exam 2: Functions and Linear Functions

Rewrite the given equation in slope-intercept form by solving for y. -x + y = -7

Solve the problem. -A firm making toaster ovens finds that the total cost, C(x), of producing x units is given by C(x) = 25x + 340. The revenue, R(x), from selling x units is determined by the price per unit times the number of units sold, thus R(x) = 35x. Find and interpret (R -C)(78).

Decide whether the relation is a function. -Find f(−2)f ( - 2 )f(−2) when f(x)=x2−2x3−2xf ( x ) = \frac { x ^ { 2 } - 2 } { x ^ { 3 } - 2 x }f(x)=x3−2xx2−2​ .

Find the requested value. - f(x)=x−2,g(x)=x−6f ( x ) = x - 2 , g ( x ) = x - 6f(x)=x−2,g(x)=x−6 Find (f+g)(2)( f + g ) ( 2 )(f+g)(2) .

Find the slope of the line that goes through the given points. - (5,5)( 5,5 )(5,5) and (8,k),m=−23( 8 , k ) , \quad m = - \frac { 2 } { 3 }(8,k),m=−32​

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Rewrite the given equation in slope-intercept form by solving for y. -9x - 5y = 0

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Decide whether the relation is a function. -{(-7, 1), (-7, 4), (1, -8), (3, 9), (9, -3)}

Find the indicated function value. - f(x)=x+2,g(x)=x+7f ( x ) = x + 2 , g ( x ) = x + 7f(x)=x+2,g(x)=x+7 Find (f+g)(1)( f + g ) ( 1 )(f+g)(1) .

Graph the equation in the rectangular coordinate system. - f(x)=3f ( x ) = 3f(x)=3

Rewrite the given equation in slope-intercept form by solving for y. -

Find the domain and range. -{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}

Decide whether the relation is a function. -{(-9, 3), (-9, 7), (-1, 5), (5, 1), (9, -6)}

Decide whether the relation is a function. -Find f(1) when f(x) = 8x - 6.

Find the domain and range. -{(6,-8), (1,3), (-9,-9), (-2,2), (5,-6)}

Use intercepts and a checkpoint to graph the linear function. -x + 4y = 8

Decide whether the relation is a function. -{(-3, -9), (-1, -8), (4, 9), (5, 1)}

Decide whether the relation is a function. -Find f(2) when f(x) = x² + 3x - 3.

Algebra, Mathematical Models, and Problem Solving

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Decide whether the relation is a function. -Find $f ( - 2 )$ when $f ( x ) = \frac { x ^ { 2 } - 2 } { x ^ { 3 } - 2 x }$ .

Find the requested value. - $f ( x ) = x - 2 , g ( x ) = x - 6$ Find $( f + g ) ( 2 )$ .

Find the slope of the line that goes through the given points. - $( 5,5 )$ and $( 8 , k ) , \quad m = - \frac { 2 } { 3 }$

Find the indicated function value. - $f ( x ) = x + 2 , g ( x ) = x + 7$ Find $( f + g ) ( 1 )$ .

Graph the equation in the rectangular coordinate system. - $f ( x ) = 3$