Question 1

Decide whether the relation defines a function.
-$4 x = 11 - 4 y$

Accepted Answer

A)  Function 
B)  Not a function 
A)  Function 
B)  Not a function

Question 2

Determine whether $$( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$$
-$f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }$

Accepted Answer

A)  Yes,, no 
B)  Yes, yes 
C)  No, yes 
D)  No, no 
A)  Yes,, no 
B)  Yes, yes 
C)  No, yes 
D)  No, no

Question 3

Select the equation that describes the graph shown.

Accepted Answer

A)  $y = - 2 ( x - 3 ) ^ { 2 }$ 
B)  $y = - 2 ( x + 3 ) ^ { 2 }$ 
C)  $y = - 2 x ^ { 2 } - 3$ 
D)  $y = - 2 ( x - 3 ) ^ { 2 } + 3$ 
A)  $y = - 2 ( x - 3 ) ^ { 2 }$ 
B)  $y = - 2 ( x + 3 ) ^ { 2 }$ 
C)  $y = - 2 x ^ { 2 } - 3$ 
D)  $y = - 2 ( x - 3 ) ^ { 2 } + 3$

Question 4

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-At what times was the temperature below 77°F?

Accepted Answer

A)  from 12 p.m. until 3 p.m 
B)  from 9 a.m. until 12 p.m. and from 3 p.m. until 6 p.m. 
C)  from 9 a.m. until 11 a.m. and from 3 p.m. until 6 p.m. 
D)  after 3 p.m. 
A)  from 12 p.m. until 3 p.m 
B)  from 9 a.m. until 12 p.m. and from 3 p.m. until 6 p.m. 
C)  from 9 a.m. until 11 a.m. and from 3 p.m. until 6 p.m. 
D)  after 3 p.m.

Question 5

Select the equation that describes the graph shown.

Accepted Answer

A)  $y = \sqrt { x + 3 }$ 
B)  $y = \sqrt { x } + 3$ 
C)  $y = \sqrt { x + 3 } + 1$ 
D)  $y = \sqrt { x - 3 }$ 
A)  $y = \sqrt { x + 3 }$ 
B)  $y = \sqrt { x } + 3$ 
C)  $y = \sqrt { x + 3 } + 1$ 
D)  $y = \sqrt { x - 3 }$

Question 6

Determine whether the three points are collinear.
-Which one is discontinuous over its domain? What is its range?

Accepted Answer

A)  graph B; $[ 0 , \infty )$ 
B)  graph $C ; ( - \infty , \infty )$ 
C)  graph B; $( - \infty , \infty )$ 
D)  graph $C ; \{ - 2 , - 1,0,1,2 \}$ 
A)  graph B; $[ 0 , \infty )$ 
B)  graph $C ; ( - \infty , \infty )$ 
C)  graph B; $( - \infty , \infty )$ 
D)  graph $C ; \{ - 2 , - 1,0,1,2 \}$

Question 7

Find the slope of the line satisfying the given conditions.
-horizontal, through $( - 5 , - 7 )$

Accepted Answer

A)  0 
B)  1 
C)  undefined 
D)  $- 1$ 
A)  0 
B)  1 
C)  undefined 
D)  $- 1$

Question 8

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form.
-

Accepted Answer

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

Question 9

Use the graph to solve the problem.
-The graph shows the relationship between current I and resistance R if the voltage is fixed. Find the current if the resistance is 2.2.

Accepted Answer

A)  0.6 A 
B)  0.8 A 
C)  0.4 A 
D)  1.0 A 
A)  0.6 A 
B)  0.8 A 
C)  0.4 A 
D)  1.0 A

Question 10

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: {4, 5, 7}; range: {12, 13} 
B)  domain: {5, 13}; range: {4, 7, 12} 
C)  domain: {4, 7, 12}; range: {5, 13} 
D)  None of these 
A)  domain: {4, 5, 7}; range: {12, 13} 
B)  domain: {5, 13}; range: {4, 7, 12} 
C)  domain: {4, 7, 12}; range: {5, 13} 
D)  None of these

Question 11

Give the domain and range of the relation.
-$$y = x ^ { 2 } + 6$$

Accepted Answer

A)  domain: $( 6 , \infty )$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $[ 6 , \infty )$ 
C)  domain: $( - 6 , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $( - 6 , \infty )$ 
A)  domain: $( 6 , \infty )$; range: $( - \infty , \infty )$ 
B)  domain: $( - \infty , \infty )$; range: $[ 6 , \infty )$ 
C)  domain: $( - 6 , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $( - 6 , \infty )$

Decide whether the relation defines a function. - $4 x = 11 - 4 y$

Determine whether $( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$ - $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }$

Select the equation that describes the graph shown.

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what times was the temperature below 77°F?

Select the equation that describes the graph shown.

Determine whether the three points are collinear. -Which one is discontinuous over its domain? What is its range?

Find the slope of the line satisfying the given conditions. -horizontal, through $( - 5 , - 7 )$

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Use the graph to solve the problem. -The graph shows the relationship between current I and resistance R if the voltage is fixed. Find the current if the resistance is 2.2.

Give the domain and range of the relation. -

Give the domain and range of the relation. - $y = x ^ { 2 } + 6$

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

Decide whether the relation defines a function. - 4x=11−4y4 x = 11 - 4 y4x=11−4y

Determine whether (f∘g)(x)=x and whether (g∘f)(x)=x. ( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }(f∘g)(x)=x and whether (g∘f)(x)=x. - f(x)=x+1,g(x)=x2f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }f(x)=x+1​,g(x)=x2

Select the equation that describes the graph shown.

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what times was the temperature below 77°F?

Select the equation that describes the graph shown.

Determine whether the three points are collinear. -Which one is discontinuous over its domain? What is its range?

Find the slope of the line satisfying the given conditions. -horizontal, through (−5,−7)( - 5 , - 7 )(−5,−7)

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Use the graph to solve the problem. -The graph shows the relationship between current I and resistance R if the voltage is fixed. Find the current if the resistance is 2.2.

Give the domain and range of the relation. -

Give the domain and range of the relation. - y=x2+6y = x ^ { 2 } + 6y=x2+6

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Decide whether the relation defines a function. - $4 x = 11 - 4 y$

Determine whether $( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$ - $f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }$

Find the slope of the line satisfying the given conditions. -horizontal, through $( - 5 , - 7 )$

Give the domain and range of the relation. - $y = x ^ { 2 } + 6$