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.

Question

Mathematics

Kaitlynn

26 January, 13:41

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.

+1

Answers (1)

Know the Answer?

Maverick · Answer 1

yes

Step-by-step explanation:

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.