Question

use the following graphs to answer questions #3 - 5

1. which graph(s), if any, are functions? circle your choice(s) a b c d none

Explanation:

Step1: Recall vertical - line test

The vertical - line test states that if any vertical line drawn on the graph of a relation intersects the graph at most once, then the relation is a function.

Step2: Check graph A

For graph A, any vertical line drawn will intersect the line at most once. So graph A is a function.

Step3: Check graph B

For graph B, a vertical line drawn in the vertical part of the "L - shaped" graph will intersect the graph more than once. So graph B is not a function.

Step4: Check graph C

For graph C, any vertical line drawn will intersect the graph at most once. So graph C is a function.

Step5: Check graph D

For graph D, any vertical line drawn will intersect the graph at most once. So graph D is a function.

Answer:

A, C, D