Questions: For each function graphed below, state whether it is one-to-one.

For each function graphed below, state whether it is one-to-one.
Transcript text: For each function graphed below, state whether it is one-to-one.
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Solution

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Solution Steps

Step 1: Understand the concept of one-to-one functions

A function is one-to-one if each output corresponds to exactly one input. In other words, no horizontal line intersects the graph of the function more than once.

Step 2: Apply the Horizontal Line Test

To determine if a function is one-to-one, use the Horizontal Line Test. If any horizontal line intersects the graph of the function more than once, the function is not one-to-one.

Step 3: Analyze the given graph

Examine the graph provided in the question. Check whether any horizontal line intersects the graph more than once. If no such line exists, the function is one-to-one. If such a line exists, the function is not one-to-one.

Final Answer

The function is one-to-one.

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