Question

does the graph represent a function that has an inverse function? choose the correct answer below. ○ no ○ yes

Explanation:

Step1: Recall inverse function condition

A function has an inverse if and only if it is one - to - one (injective), meaning no horizontal line intersects its graph more than once (Horizontal Line Test).

Step2: Apply Horizontal Line Test

Looking at the given graph, we can see that there are horizontal lines (for example, a horizontal line drawn above the minimum point of the left - hand curve and below the peak of the right - hand curve) that will intersect the graph at more than one point. So the function is not one - to - one.

Answer:

No