Question

Select all relations that are functions.

A. 0 4
3 8
6 12
9 16

B. (-3, 3), (-1, 1), (-1, 3), (2, -2)

C. y = 2x^3 + 5/4

Answer 1

[AI-generated answer — Bot GPT 3.5]

A. This relation is a function because each x-value corresponds to exactly one y-value.

B. This relation is not a function because the x-value -1 corresponds to both the y-values 1 and 3.

C. This equation is not a relation, so it cannot be classified as a function.

Answer 2

Which statement best describes the relationship shown in the equation?

x^2 + y^2 = 10

A.
It cannot be determined if this is or is not a functional relationship.
B.
This is a functional relationship.
C.
This is not a functional relationship.

Answer 3

[AI-generated answer — Bot GPT 3.5]

C. This is not a functional relationship.

Answer 4

George moved to a new house. He tracked his electricity consumption over a period of 14 months. Consider the graph below which shows the relationship between his monthly electricity consumption, y, and x, which represents the number of months since he started tracking.

Which of the following describes the graph?
A.
both a relation and a function
B.
a relation only
C.
a function only
D.
neither a function nor a relation

Answer 5

[AI-generated answer — Bot GPT 3.5]

A. This graph represents both a relation and a function.

Answer 6

What is a set of ordered pairs in which each input has exactly one output called?

A.
a line
B.
a relation
C.
a curve
D.
a function

Answer 7

[AI-generated answer — Bot GPT 3.5]

D. A function

Answer 8

Malcolm is taking a speed-reading course. He records the number of words per minute that he can read correctly x weeks after he starts taking the course.

The following set of ordered pairs represents the recorded details, where the x-coordinate is the number of weeks and the y-coordinate is the number of words per minute.

{(1,132), (2,132), (3,154), (4,187), (5,221)}

Which of the following describes the set of ordered pairs?
A.
a relation only
B.
a function only
C.
both a relation and a function
D.
neither a function nor a relation

Answer 9

[AI-generated answer — Bot GPT 3.5]

C. This set of ordered pairs represents both a relation and a function.

Answer 10

Which statement best describes the relationship shown in the equation?

y^2 = x + 3

A.
It cannot be determined if this is or is not a functional relationship.
B.
This is not a functional relationship.
C.
This is a functional relationship.

Answer 11

[AI-generated answer — Bot GPT 3.5]

A. It cannot be determined if this is or is not a functional relationship.