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Are these functions or not functions?

Are these functions or not functions?-example-1
User J Faucher
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2 Answers

7 votes

Answer:

A is not a function

B is a function

C is a function

D is a function

E is not a function

F is a function

G is not a function

Explanation:

A is not a function because there are multiple outputs for the same input. In this case, the outputs 7 and -7 both have the same input of 1, and the outputs 8 and-8 both have the same input of 2. In order for a relationship to be a function, there must only exist one unique output for every input, no more, no less.

B is a function because each input is assigned one unique output

C is a function because each input is assigned one unique output (and also happens to be linear)

D is a function because no x-coordinate contains more than one y-coordinate, via the vertical line test

E is not a function because the x-coordinate of 3 has y-coordinates of both 3 and -1, which would fail the horizontal line test.

F is a function because no x-coordinate contains more than one y-coordinate, via the vertical line test

G is not a function because it fails the horizontal line test since there are multiple x-coordinates with multiple outputs assigned to them.

User BoredT
by
7.9k points
6 votes

Answer:

A. Is not a Function

B. Is a Function

C. Is a Function

D. Is a Function

E. Is not a Function

F. Is a Function

G.Is not a Function

I hope This Helps

User Cricket
by
7.9k points

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