Question

Is this function one-to-one? Explain how you determined your answer.

Please help me!

Answer 1

It is not a one to one function

Explanation:

A function is a one to one function if it passes both vertical and horizontal line test.

Vertical line test

draw vertical lines on the graph, the vertical lines crosses the graph at only one point. So it passes vertical line test

Horizontal line test

draw Horizontal lines on the graph, the Horizontal lines crosses the graph at only one point. Horizontal line crosses two points on he graph at y=3

So it does not passes horizontal line test

It is not a one to one function

Answer 2

No

Explanation:

A relation is a function if it passes the vertical line test: no vertical line intersects the graph at more than one point.

It is "one-to-one" if it also passes the horizontal line test: no horizontal line intersects the graph at more than one point.

This function does not pass the horizontal line test. The horizontal line y=3 intersects the graph at both x=1 and x=2.