Question

does the graph represent a function that has an inverse?

choose the correct answer below
yes
no

Explanation:

Analyze the graph's behavior

Using the Horizontal Line Test and One-to-One Functions knowledge points

$$ \text{A function has an inverse if and only if it is one-to-one.} $$

$$ \text{The given graph is a parabola opening downward.} $$

Apply the test

Using the Horizontal Line Test and Inverse Functions knowledge points

$$ \text{A horizontal line intersects the parabola at more than one point.} $$

$$ \text{Therefore, the function is not one-to-one and does not have an inverse.} $$

Answer:

• Yes
• No (Correct answer)