Deck 3: Graphs and Functions

Question 1

List the ordered pair corresponding to the indicated point.
C

A)(1, 2)
B)(0, 2)
C)(2, 1)
D)(2, 0)

Answer 1

(0, 2)

Question 2

List the ordered pair corresponding to the indicated point.

-L

A) $\left( 2 , - 4 \frac { 1 } { 2 } \right)$
B) $\left( 4 \frac { 1 } { 2 } , - 2 \right)$
C) $\left( - 2 , - 4 \frac { 1 } { 2 } \right)$
D) $\left( - 4 \frac { 1 } { 2 } , - 2 \right)$

Answer 2

$\left( - 4 \frac { 1 } { 2 } , - 2 \right)$

Question 3

List the ordered pair corresponding to the indicated point.
G

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

Answer 3

(-3, 0)

Question 4

List the ordered pair corresponding to the indicated point.

-M

A) $\left( 4 , \frac { 1 } { 2 } \right)$
B) $\left( \frac { 1 } { 2 } , 4 \right)$
C)(1 12 , 5)
D)(5, 1 12 )

Question 5

List the ordered pair corresponding to the indicated point.
J

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

Question 6

List the ordered pair corresponding to the indicated point.
E

A)(4, 3)
B)(4, 2)
C)(3, 4)
D)(3, -4)

Question 7

List the ordered pair corresponding to the indicated point.
B

A)(3, 4)
B)(-3, 4)
C)(4, 3)
D)(4, -3)

Question 8

Determine the quadrant in which the point is located.
(-4, 5)

A)Quadrant I
B)Quadrant II
C)Quadrant III
D)Quadrant IV

Question 9

List the ordered pair corresponding to the indicated point.
F

A)(2, 0)
B)(2, 1)
C)(0, 2)
D)(1, 2)

Question 10

Plot the point.

- $( - 6,0 )$

A)
B)
C)
D)

Question 11

List the ordered pair corresponding to the indicated point.
I

A)(-5, 4)
B)(-4, 5)
C)(-4, -5)
D)(-5, -4)

Question 12

Plot the point.

- $( 4 , - 3 )$

A)
B)
C)
D)

Question 13

Plot the point.
(4, 3)

A)
B)
C)
D)

Question 14

Determine the quadrant in which the point is located.
(2, 1)

A)Quadrant I
B)Quadrant II
C)Quadrant III
D)Quadrant IV

Question 15

Determine the quadrant in which the point is located.
(-1, -4)

A)Quadrant I
B)Quadrant II
C)Quadrant III
D)Quadrant IV

Question 16

Plot the point.

- $( - 5 , - 2 )$

A)
B)
C)
D)

Question 17

List the ordered pair corresponding to the indicated point.
D

A)(4, -3)
B)(-3, 4)
C)(3, 5)
D)(5, 3)

Question 18

Plot the point.

-(0, 3)

A)
B)
C)
D)

Question 19

Determine the quadrant in which the point is located.
(2, -3)

A)Quadrant I
B)Quadrant II
C)Quadrant III
D)Quadrant IV

Question 20

Plot the point.

- $( - 2,5 )$

A)
B)
C)
D)

Question 21

Graph the equation.

- $y = - \frac { 2 } { 5 } x + 2$

A)
B)
C)
D)

Question 22

Graph the equation.

-y = -3x - 1

A)
B)
C)
D)

Question 23

Determine whether the given ordered pair is a solution to the given equation.

- $( - 2 , - 3 ) ; 3 x ^ { 2 } + 7 x y + 2 y ^ { 2 } = 72$

A)yes
B)no

Question 24

Graph the equation.

- $y = | x | - 6$

A)
B)
C)
D)

Question 25

Determine whether the given ordered pair is a solution to the given equation.

- $$( 6 , - 5 ) ; 3 x ^ { 2 } + 8 x y - 2 y ^ { 2 } = - 237$$

A)yes
B)no

Question 26

Graph the equation.

- $y = \frac { 1 } { 2 } x + 3$

A)
B)
C)
D)

Question 27

Graph the equation.

- $y = - | x | + 3$

A)
B)
C)
D)

Question 28

Determine whether the given ordered pair is a solution to the given equation.
(4, 26); y = 7x + 2

A)yes
B)no

Question 29

Determine whether the given ordered pair is a solution to the given equation.

- $( 15,11 ) ; y = | x - 4 |$

A)yes
B)no

Question 30

Graph the equation.

- $y = x ^ { 3 } - 5$

A)
B)
C)
D)

Question 31

Determine whether the given ordered pair is a solution to the given equation.

- $( 1 , - 6 ) ; y = x ^ { 2 } - 3 x - 4$

A)yes
B)no

Question 32

Determine whether the given ordered pair is a solution to the given equation.

- $\left( \frac { 7 } { 10 } , 1 \right) ; 40 x + 7 y = 29$

A)yes
B)no

Question 33

Graph the equation.

- $y = 2 x - 3$

A)
B)
C)
D)

Question 34

Graph the equation.
y = x

A)
B)
C)
D)

Question 35

Determine whether the given ordered pair is a solution to the given equation.
(4, 40); y = 9x + 4

A)yes
B)no

Question 36

Determine whether the given ordered pair is a solution to the given equation.

- $( 2,10 ) ; y = x ^ { 2 } + 2 x - 2$

A)yes
B)no

Question 37

Determine whether the given ordered pair is a solution to the given equation.

- $( 16,26 ) ; y = | x - 10 |$

A)yes
B)no

Question 38

Determine whether the given ordered pair is a solution to the given equation.

- $\left( \frac { 5 } { 7 } , - 1 \right) ; 35 x + 2 y = 23$

A)yes
B)no

Question 39

Graph the equation.

- $y = \frac { 1 } { x }$

A)
B)
C)
D)

Question 40

Graph the equation.

- $y = x ^ { 2 } + 1$

A)
B)
C)
D)

Question 41

Write the word or phrase that best completes each statement or answers the question.
Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Question 42

Write the word or phrase that best completes each statement or answers the question.
Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Question 43

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.

-students' academic advisor $$\begin{array} { l } \text { Bob } \longrightarrow \text { Ms. Lee } \\\text { Ann } \longrightarrow \text { Mr. Bar } \\\text { Dave } \nearrow\end{array}$$

A)not a function
B)not a function domain: {Bob, Ann, Dave} domain: {Ms. Lee, Mr. Bar}
Range: {Ms. Lee, Mr. Bar} range: {Bob, Ann, Dave}
C)function
D)function domain: {Bob, Ann, Dave} domain: {Ms. Lee, Mr. Bar}
Range: {Ms. Lee, Mr. Bar} range: {Bob, Ann, Dave}

Question 44

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

-

A)not a function domain: {x | x ? 3} range: $\mathcal { R }$
B)not a function domain: $\mathcal { R }$ range: {y | y ? 3}
C)function domain: {x | x ? 3} range: $\mathcal { R }$
D)function domain: $\mathcal { R }$ range: {y | y ? 3}

Question 45

Graph the equation.

- $x=|y|$

A)
B)
C)
D)

Question 46

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.

-pets at home $Alice~\longrightarrow ~snake\\Brad~\longrightarrow ~cat\\Carl$ dog

A)not a function
B)function domain: {Alice, Brad, Carl} domain: {snake, cat, dog}
Range: {snake, cat, dog} range: {Alice, Brad, Carl}
C)function
D)not a function domain: {Alice, Brad, Carl} domain: {snake, cat, dog}
Range: {snake, cat, dog} range: {Alice, Brad, Carl}

Question 47

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
What percentage of the students at State University were enrolled in the College of Engineering in 1965?

A)approximately 8.5%
B)approximately 14%
C)approximately 12%
D)approximately 7%

Question 48

Write the word or phrase that best completes each statement or answers the question.
Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Question 49

Solve the problem.
Mark started out by walking up a hill for 5 minutes. For the next 5 minutes he walked down a steep hill to an elevation lower than his starting point. For the next 10 minutes he walked on level ground. For the next 10
Minutes he walked uphill. Determine which graph of elevation above sea level versus time matches the given
Situation.

A)
B)
C)
D)

Question 50

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

-

A)not a function
B) $\{ y \mid - 1 \leq y \leq 1 \}$ domain:domain: $\{ x \mid - \pi \leq x \leq \pi \}$ range:: $\{ x \mid - \pi \leq x \leq \pi \}$ range:range: $\{ y \mid - 1 \leq y \leq 1 \}$
C)function
D) $\{ x \mid - \pi \leq x \leq \pi \}$ domain:main: $\{ y \mid - 1 \leq y \leq 1 \}$ range:range: $\{ \mathrm { y } \mid - 1 \leq y \leq 1 \}$ range:: $\{ x \mid - \pi \leq x \leq \pi \}$

Question 51

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.
{(-2, 7), (-1, 4), (0, 3), (1, 4), (3, 12)}

A)function
B)function domain: {7, 4, 3, 12} domain: {-2, -1, 0, 1, 3}
Range: {-2, -1, 0, 1, 3} range: {7, 4, 3, 12}
C)not a function
D)not a function domain: {-2, -1, 0, 1, 3} domain: {7, 4, 3, 12}
Range: {7, 4, 3, 12} range: {-2, -1, 0, 1, 3}

Question 52

Write the word or phrase that best completes each statement or answers the question.
Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Question 53

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

-

A) not a function domain: {-4} range: $\mathcal { R }$
B) not a function domain: $\mathcal { R }$ range: {-4}
C) function domain: $\mathcal { R }$ range: {-4}
D) function domain: {-4} range: $\mathcal { R }$

Question 54

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
In what year were 28% of the students at State University enrolled in the College of Engineering?

A)1985
B)2000
C)1995
D)1990

Question 55

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.

-five times a number $$\begin{array} { l } 3 \rightarrow 15 \\4 \rightarrow 20 \\5 \rightarrow 25 \\6 \rightarrow 30\end{array}$$

A)function domain:{15, 20, 25, 30} range: {3, 4, 5, 6}
B)not a function domain:{15, 20, 25, 30} range: {3, 4, 5, 6}
C) function domain: {3, 4, 5, 6} range: {15, 20, 25, 30}
D) not a function domain: {3, 4, 5, 6} range: {15, 20, 25, 30}

Question 56

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

-

A)function domain: {x|- 7 < x < 7} range: {y|- 7 < y < 7}

B) not a function domain: $\mathcal { R }$ range: $\mathcal { R }$

C)function domain: $\mathcal { R }$ range: $\mathcal { R }$
D)not a function domain: {x|- 7 < x < 7} range: {y|- 7 < y < 7}

Question 57

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.
{(11, -4), (-5, -3), (-5, 0), (4, 3), (20, 5)}

A)function
B)function domain: {-4, -3, 0, 3, 5} domain: {11, 4, -5, 20}
Range: {11, 4, -5, 20} range: {-4, -3, 0, 3, 5}
C)not a function
D)not a function domain: {11, 4, -5, 20} domain: {-4, -3, 0, 3, 5}
Range: {-4, -3, 0, 3, 5} range: {11, 4, -5, 20}

Question 58

Solve the problem.
A freight train traveled at a speed of 50 mph for 3 hours, then stayed in a station for 1 hour, and then traveled 30 mph for 2 hours. Make a graph of distance traveled versus time to match the given situation.

A)
B)
C)
D)

Question 59

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

-

A)not a function domain: {-2} range: $\mathcal { R }$
B)not a function domain: $\mathcal { R }$ range: {-2}
C)function domain: {-2} range: $\mathcal { R }$
D) function domain: $\mathcal { R }$ range: {-2}

Question 60

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

A)not a function domain: {x|-7 ≤ x ≤ 7} range: {y|-6 ≤ y ≤ 6}
B)function domain: {y|-6 ≤ y ≤ 6} range: {x|-7 ≤ x ≤ 7}
C)not a function domain: {y|-6 ≤ y ≤ 6} range: {x|-7 ≤ x ≤ 7}
D)function domain: {x|-7 ≤ x ≤ 7} range: {y|-6 ≤ y ≤ 6}

Question 61

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
The population of an endangered species of fish were moved to a controlled habitat to encourage the species to
increase in numbers. When they were moved there were 47 members in the population. In 18 months there
were 209 members in the population, with a growth pattern that was approximately linear. Draw a graph that
fits this data. On the graph, darken the part of the graph where the population is less than or equal to 100
members. Estimate, to the nearest month, how many months passed before the population reached 100.