Question 1

Find the domain of the function.
-$$f ( x ) = 7 x + 5$$

Accepted Answer

A)  $( - 5 , \infty )$ 
B)  $( \infty , 0 )$ or $( 0 , \infty )$ 
C)  $( \infty , \infty )$ 
D)  $( x , - 5 )$ or $( - 5 , \infty )$ 
A)  $( - 5 , \infty )$ 
B)  $( \infty , 0 )$ or $( 0 , \infty )$ 
C)  $( \infty , \infty )$ 
D)  $( x , - 5 )$ or $( - 5 , \infty )$

Question 2

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

Accepted Answer

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

Question 3

Decide whether the relation is a function.
-$$f ( x ) = x ^ { 2 } , g ( x ) = x ^ { 2 } - 3$$

Accepted Answer

A)  g shifts the graph of f vertically
up 3 units 
  
B)  g shifts the graph of $f$ vertically
up 3 units
  
C)  g shifts the graph of f vertically
down 3 units 
  
D)  g shifts the graph of $f$ vertically
down 3 units
  
A)  g shifts the graph of f vertically
up 3 units 
  
B)  g shifts the graph of $f$ vertically
up 3 units
  
C)  g shifts the graph of f vertically
down 3 units 
  
D)  g shifts the graph of $f$ vertically
down 3 units

Question 4

Use intercepts and a checkpoint to graph the linear function.
-

Accepted Answer

A)  $( 0 , - 3 ) , ( 6,0 )$
  
B)  $( 0 , - 6 ) , ( 3,0 )$
  
C)  $(0,6),(-3,0)$
  
D)  $(0,-3),(-6,0)$
  
A)  $( 0 , - 3 ) , ( 6,0 )$
  
B)  $( 0 , - 6 ) , ( 3,0 )$
  
C)  $(0,6),(-3,0)$
  
D)  $(0,-3),(-6,0)$

Question 5

Use the graph to find the indicated function value.
-y = f(x). Find f(-4)

Accepted Answer

A)  1.75 
B)  4 
C)  13 
D)  -4 
A)  1.75 
B)  4 
C)  13 
D)  -4

Question 6

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question.

-Between what two years is the difference in function values equal to 5%?

Accepted Answer

A)  between 1995 and 2000 
B)  between 1980 and 1985 
C)  between 1970 and 1975 
D)  between 1990 and 1995 
A)  between 1995 and 2000 
B)  between 1980 and 1985 
C)  between 1970 and 1975 
D)  between 1990 and 1995

Question 7

Find the slope of the line that goes through the given points.
-$( - 2 , - 5 )$ and $\left( \frac { 3 } { 4 } , 5 \right)$

Accepted Answer

A)  $\frac { 11 } { 40 }$ 
B)  $\frac { 40 } { 11 }$ 
C)  $- \frac { 11 } { 40 }$ 
D)  0 
A)  $\frac { 11 } { 40 }$ 
B)  $\frac { 40 } { 11 }$ 
C)  $- \frac { 11 } { 40 }$ 
D)  0

Question 8

Graph the equation in the rectangular coordinate system.
-

Accepted Answer

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

Question 9

Find the domain and range.
-{(41, -4), (5, -3), (5, 0), (14, 3), (30, 5)}

Accepted Answer

A)  domain: {41, 14, 5, 30}; range: {-4, -3, 3, 5} 
B)  domain: {-4, -3, 3, 5}; range: {41, 14, 5, 30} 
C)  domain: {-4, -3, 0, 3, 5}; range: {41, 14, 5, 30} 
D)  domain: {41, 14, 5, 30}; range: {-4, -3, 0, 3, 5} 
A)  domain: {41, 14, 5, 30}; range: {-4, -3, 3, 5} 
B)  domain: {-4, -3, 3, 5}; range: {41, 14, 5, 30} 
C)  domain: {-4, -3, 0, 3, 5}; range: {41, 14, 5, 30} 
D)  domain: {41, 14, 5, 30}; range: {-4, -3, 0, 3, 5}

Question 10

Use the graph to identify domain and range.
-

Accepted Answer

A)  domain: $[ - 1 , \infty )$
range: $( \infty , \infty )$ 
B)  domain: $( - 1 , \infty )$
range: $( \infty , \infty )$ 
C)  domain: $( \infty , \infty )$
range: $( - 1 , \infty )$ 
D)  domain: $( \infty , \infty )$  
 range: $[ - 1 , \infty )$ 
A)  domain: $[ - 1 , \infty )$
range: $( \infty , \infty )$ 
B)  domain: $( - 1 , \infty )$
range: $( \infty , \infty )$ 
C)  domain: $( \infty , \infty )$
range: $( - 1 , \infty )$ 
D)  domain: $( \infty , \infty )$  
 range: $[ - 1 , \infty )$

Question 11

Decide whether the relation is a function.
-

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically
up 2 units
  
B)  $g$ shifts the graph of $f$ vertically
 down 2 units
  
C)  g shifts the graph of $f$ vertically
down 2 units
  
D)  $g$ shifts the graph of $f$ vertically
 up 2 units
  
A)  $g$ shifts the graph of $f$ vertically
up 2 units
  
B)  $g$ shifts the graph of $f$ vertically
 down 2 units
  
C)  g shifts the graph of $f$ vertically
down 2 units
  
D)  $g$ shifts the graph of $f$ vertically
 up 2 units

Question 12

Graph the equation in the rectangular coordinate system.
-

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

Graph the equation in the rectangular coordinate system.
-4x = 8

Accepted Answer

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

Question 15

Find the indicated function value.
-$$f ( x ) = 2 x ^ { 2 } - 2 , g ( x ) = 3 x ^ { 2 } + 3 x - 3$$
Find $( f + g ) ( 4 )$.

Accepted Answer

A)  63 
B)  93 
C)  51 
D)  87 
A)  63 
B)  93 
C)  51 
D)  87

Question 16

Find the domain of the function.
-$$f ( x ) = \frac { 1 } { x - 9 }$$

Accepted Answer

A)  $( 9 , \infty )$ 
B)  $( \infty , \infty )$ 
C)  $( \infty , 0 )$ or $( 0 , \infty )$ 
D)  $( \infty , 9 )$ or $( 9 , \infty )$ 
A)  $( 9 , \infty )$ 
B)  $( \infty , \infty )$ 
C)  $( \infty , 0 )$ or $( 0 , \infty )$ 
D)  $( \infty , 9 )$ or $( 9 , \infty )$

Question 17

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable.
-The linear function f(x) = -5.3x + 21 models the percentage of people, f(x), who eat at fast food restaurants each week x years after 1998.

Accepted Answer

A)  m = 5.3; the percentage of people eating at fast food restaurants each week has increased at a rate of 5.3% per year after 1998. 
B)  m = 21; the percentage of people eating at fast food restaurants each week has increased at a rate of -5.3% per year after 1998. 
C)  m = 5.3; the percentage of people eating at fast food restaurants each week has increased at a rate of -5.3% per year after 1998. 
D)  m = -5.3; the percentage of people eating at fast food restaurants each week has decreased at a rate of -5.3% per year after 1998. 
A)  m = 5.3; the percentage of people eating at fast food restaurants each week has increased at a rate of 5.3% per year after 1998. 
B)  m = 21; the percentage of people eating at fast food restaurants each week has increased at a rate of -5.3% per year after 1998. 
C)  m = 5.3; the percentage of people eating at fast food restaurants each week has increased at a rate of -5.3% per year after 1998. 
D)  m = -5.3; the percentage of people eating at fast food restaurants each week has decreased at a rate of -5.3% per year after 1998.

Question 18

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

Accepted Answer

A)  6 
B)  -3 
C)  -18 
D)  0 
A)  6 
B)  -3 
C)  -18 
D)  0

Question 19

Find the indicated function value.
-$$f ( x ) = 5 x ^ { 2 } + 7 x + 6 , g ( x ) = 3 x + 4$$
Find $( f + g ) ( 5 )$.

Accepted Answer

A)  245 
B)  261 
C)  185 
D)  $- 65$ 
A)  245 
B)  261 
C)  185 
D)  $- 65$

Question 20

Solve the problem.
-A firm is considering a new product. The accounting department estimates that the total cost, C(x), of producing x units will be C(x) = 95x + 3720. The sales department estimates that the revenue, R(x), from selling x units will be R(x) = 105x, but that no more than 987 units can be sold at that price. Find and interpret (R -C)(987).

Accepted Answer

A)  -$6150 loss, cost exceeds income 
B)  $6150 profit, income exceeds cost It is not worth it to develop product. It is worth it to develop product. 
C)  $201,120 profit, income exceeds cost 
D)  $1359 profit, income exceeds cost It is worth it to develop product. It is worth it to develop product. 
A)  -$6150 loss, cost exceeds income 
B)  $6150 profit, income exceeds cost It is not worth it to develop product. It is worth it to develop product. 
C)  $201,120 profit, income exceeds cost 
D)  $1359 profit, income exceeds cost It is worth it to develop product. It is worth it to develop product.

Find the domain of the function. - $f ( x ) = 7 x + 5$

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

Decide whether the relation is a function. - $f ( x ) = x ^ { 2 } , g ( x ) = x ^ { 2 } - 3$ $Decide whether the relation is a function. - f ( x ) = x ^ { 2 } , g ( x ) = x ^ { 2 } - 3$

Use intercepts and a checkpoint to graph the linear function. -

Use the graph to find the indicated function value. -y = f(x). Find f(-4)

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Between what two years is the difference in function values equal to 5%?

Find the slope of the line that goes through the given points. - $( - 2 , - 5 )$ and $\left( \frac { 3 } { 4 } , 5 \right)$

Graph the equation in the rectangular coordinate system. -

Find the domain and range. -{(41, -4), (5, -3), (5, 0), (14, 3), (30, 5)}

Use the graph to identify domain and range. -

Decide whether the relation is a function. -

Graph the equation in the rectangular coordinate system. -

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

Graph the equation in the rectangular coordinate system. -4x = 8

Find the indicated function value. - $f ( x ) = 2 x ^ { 2 } - 2 , g ( x ) = 3 x ^ { 2 } + 3 x - 3$ Find $( f + g ) ( 4 )$ .

Find the domain of the function. - $f ( x ) = \frac { 1 } { x - 9 }$

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. -The linear function f(x) = -5.3x + 21 models the percentage of people, f(x), who eat at fast food restaurants each week x years after 1998.

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

Find the indicated function value. - $f ( x ) = 5 x ^ { 2 } + 7 x + 6 , g ( x ) = 3 x + 4$ Find $( f + g ) ( 5 )$ .

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

Exam 2: Functions and Linear Functions

Find the domain of the function. - f(x)=7x+5f ( x ) = 7 x + 5f(x)=7x+5

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

Decide whether the relation is a function. - f(x)=x2,g(x)=x2−3f ( x ) = x ^ { 2 } , g ( x ) = x ^ { 2 } - 3f(x)=x2,g(x)=x2−3

Use intercepts and a checkpoint to graph the linear function. -

Use the graph to find the indicated function value. -y = f(x). Find f(-4)

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Between what two years is the difference in function values equal to 5%?

Find the slope of the line that goes through the given points. - (−2,−5)( - 2 , - 5 )(−2,−5) and (34,5)\left( \frac { 3 } { 4 } , 5 \right)(43​,5)

Graph the equation in the rectangular coordinate system. -

Find the domain and range. -{(41, -4), (5, -3), (5, 0), (14, 3), (30, 5)}

Use the graph to identify domain and range. -

Decide whether the relation is a function. -

Graph the equation in the rectangular coordinate system. -

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

Graph the equation in the rectangular coordinate system. -4x = 8

Find the indicated function value. - f(x)=2x2−2,g(x)=3x2+3x−3f ( x ) = 2 x ^ { 2 } - 2 , g ( x ) = 3 x ^ { 2 } + 3 x - 3f(x)=2x2−2,g(x)=3x2+3x−3 Find (f+g)(4)( f + g ) ( 4 )(f+g)(4) .

Find the domain of the function. - f(x)=1x−9f ( x ) = \frac { 1 } { x - 9 }f(x)=x−91​

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. -The linear function f(x) = -5.3x + 21 models the percentage of people, f(x), who eat at fast food restaurants each week x years after 1998.

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

Find the indicated function value. - f(x)=5x2+7x+6,g(x)=3x+4f ( x ) = 5 x ^ { 2 } + 7 x + 6 , g ( x ) = 3 x + 4f(x)=5x2+7x+6,g(x)=3x+4 Find (f+g)(5)( f + g ) ( 5 )(f+g)(5) .

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

Find the domain of the function. - $f ( x ) = 7 x + 5$

Decide whether the relation is a function. - $f ( x ) = x ^ { 2 } , g ( x ) = x ^ { 2 } - 3$ $Decide whether the relation is a function. - f ( x ) = x ^ { 2 } , g ( x ) = x ^ { 2 } - 3$

Find the slope of the line that goes through the given points. - $( - 2 , - 5 )$ and $\left( \frac { 3 } { 4 } , 5 \right)$

Find the indicated function value. - $f ( x ) = 2 x ^ { 2 } - 2 , g ( x ) = 3 x ^ { 2 } + 3 x - 3$ Find $( f + g ) ( 4 )$ .

Find the domain of the function. - $f ( x ) = \frac { 1 } { x - 9 }$

Find the indicated function value. - $f ( x ) = 5 x ^ { 2 } + 7 x + 6 , g ( x ) = 3 x + 4$ Find $( f + g ) ( 5 )$ .