Question

Is the inverse of the function shown below also a function? Explain your answer.

On a coordinate plane, a curve is in quadrant 2 and opens down to the right. The curve crosses the y-axis at (3, 0) and then opens up to the left in quadrant 1. The curve approaches x = negative 3 in quadrant 3 and the curve approaches x = 3 in quadrant 1.

Answer 1

The inverse is a function. Considering the graph passes the horizontal line test, the function is one-to-one. This means the inverse is a function because functions that are one-to-one have inverses that are also functions.

Answer 2

Sample Response: If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function.

Explanation:

sample response on edg 2020