Question

which functions are invertible? select each correct answer.

Explanation:

Step1: Recall invertibility test

A function is invertible if it passes the Horizontal Line Test: no horizontal line intersects the graph more than once.

Step2: Test top-left graph

This is a non-horizontal linear function. Any horizontal line will intersect it exactly once. It passes the test, so it is invertible.

Step3: Test top-right graph

This is a strictly increasing curve. No horizontal line will intersect it more than once. It passes the test, so it is invertible.

Step4: Test bottom-left graph

No graph is shown, so it cannot be confirmed as invertible.

Step5: Test bottom-right graph

This is two rays going left-down and right-up. No horizontal line will intersect it more than once. It passes the test, so it is invertible.

Answer:

1. The linear function (top-left graph)
2. The increasing curve function (top-right graph)
3. The two-ray function (bottom-right graph)