Question

The inverse of the function graphed below is a function.

A. True
B. False

Answer 1

False.  In order to have an inverse, your function must pass the horizontal line test.  The graph fails the test.

Answer 2

B. False

Explanation:

We are given a graph of a function. Shown graph represents a function because there is only unique value of y for each unique value of x.

So, it would pass the vertical line test.

All the vertical lines on the graph would cross the graph at only single point (unique) point.

But if we draw the inverse function graph, each of (x,y) coordinate would switch to (y,x) and the graph would flip to right side.

And if we draw any vertical line on the graph, it could cut the graph at two or more points.

Therefore, it would not pass the vertical line test and it would not be a graph of a function.