Question

one-to-one? yes no
one-to-one? yes no
one-to-one? yes no
one-to-one? yes no
one-to-one? yes no
one-to-one? yes no

Explanation:

Step 1: Analyze the first graph

The points at \((-1, -4)\) and \((3, -4)\) share the same \(y\)-value.

$$y = -4 \text{ for } x = -1 \text{ and } x = 3$$

Step 2: Analyze the second graph

The horizontal line \(y = 1\) intersects the graph at two different points.

$$y = 1 \text{ for } x = -3 \text{ and } x = 1$$

Step 3: Analyze the third graph

Every horizontal line intersects the curve at most once.

$$\text{Passes the horizontal line test}$$

Answer:

First graph: No
Second graph: No
Third graph: Yes