AnswersGA-8th Grade MathematicsUnit Test

Introduction to Functions Answers

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Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?

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A
The graph is not a function of x because the line x = 0 intersects the graph at two points.
B
The graph is a function of x because the line x = 5 does not intersect the graph.
C
The graph is not a function of x because the line y = 0 intersects the graph at two points.
D
The graph is a function of x because the line y = 5 does not intersect the graph.
2
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Asha found that a vertical line intersects the graph of at two points. What can Asha conclude about ?

Question illustration
A
The graph passes the vertical line test and is a function.
B
The graph is not a function because it fails the vertical line test.
C
The graph shows a straight-line relationship between x and y.
D
The graph curves in a U-shape and always opens upward.
3

The table below lists some of the characteristics of the houses on Katrina’s street.Characteristics of Homes For Sale on Katrina’s StreetBedroomsAcres of landSale priceAppraised valueProperty tax 20.17$230,000$200,000$1,22020.20$210,000$220,000$1,23230.20$275,000$250,000$1,40040.24$275,000$275,000$1,54040.52$360,000$310,000$1,73640.75$350,000$320,000$1,79251.23$375,000$350,000$1,960Which relationship describes a function?

A
(bedrooms, sale price)
B
(acres of land, appraised value)
C
(sale price, bedrooms)
D
(appraised value, property tax)
4

The graph below models the value of a $20,000 car t years after it was purchased. Value of CarWhich statement best describes why the value of the car is a function of the number of years since it was purchased?

Question illustration
A
Each car value, y, is associated with exactly one time, t.
B
Each time, t, is associated with exactly one car value, y.
C
The rate at which the car decreases in value is not constant.
D
There is no time, t, at which the value of the car is 0.
5

Hal, Zelda, Maya, and Jason each recorded the height and age of five classmates. They used the data to create the tables below. In which student’s data can height be considered a function of age?

Question illustration
A
Hal
B
Zelda
C
Maya
D
Jason
6

Which statement is a correct interpretation of the vertical line test?

A
If only one vertical line intersects the graph at exactly one point, the graph represents a function.
B
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function.
C
If any vertical line can intersect the graph at more than one point, the graph represents a function.
D
If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
7

Removing which ordered pair from the table would make the relation a function of x? xy1747224139

A
(1, 7)
B
(2, 2)
C
(3, 9)
D
(4, 1)
8

If the relationships below are given in the form (input, output), which pairing always describes a function?

A
(number of doors in a car, number of cup holders in the car)
B
(height of a building in feet, height of the building in inches)
C
(beverage charge on a bill, total meal charge on the bill)
D
(distance from home during a trip, time elapsed during the trip)
9

Which graph is a function of x?

A
On a coordinate plane, a vertical line is at x = negative 3.
Option A
B
On a coordinate plane, a v-shaped graph opens up.
Option B
C
On a coordinate plane, a parabola opens to the right.
Option C
D
On a coordinate plane, one curve opens to the left and another curve opens to the right.
Option D
10

Removing which point from the coordinate plane would make the graph a function of x?

Question illustration
A
(–4, 3)
B
(–2, 1)
C
(0, 4)
D
(1, 1)

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Introduction to Functions Answers — GA-8th Grade…