Questions: Functions Horizontal line test For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one? Yes No Yes No Yes No Graph 4 Graph 5 Graph 6 One-to-one? Yes No Yes No Yes No

Functions
Horizontal line test

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

Graph 1 Graph 2 Graph 3
One-to-one? Yes No Yes No Yes No

Graph 4 Graph 5 Graph 6
One-to-one? Yes No Yes No Yes No

Transcript text: Functions Horizontal line test For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one? Yes No Yes No Yes No Graph 4 Graph 5 Graph 6 One-to-one? Yes No Yes No Yes No

Solution

Solution Steps

Step 1: Understanding the Problem

The task is to determine whether each function graphed is one-to-one. A function is one-to-one if and only if it passes the horizontal line test, meaning no horizontal line intersects the graph at more than one point.

Step 2: Analyzing Graph 1

Graph 1 shows multiple points. A horizontal line can intersect more than one point, indicating that the function is not one-to-one.

Step 3: Analyzing Graph 2

Graph 2 shows a parabola opening upwards. A horizontal line can intersect the parabola at two points, indicating that the function is not one-to-one.