Question

which of the following graphs represent functions? (graph with coordinate grid and blue dots at various points)

Explanation:

Step1: Recall function test rule

Use the Vertical Line Test: A graph represents a function if no vertical line intersects the graph more than once.

Step2: Apply test to given points

Check each x-value:

• $x=-7$ has 1 y-value ($7$)
• $x=-4$ has 1 y-value ($1$)
• $x=0$ has 1 y-value ($-4$)
• $x=2$ has 1 y-value ($1$)
• $x=6$ has 1 y-value ($1$)

No x-value maps to more than one y-value, so the vertical line test passes.

Answer:

This graph represents a function.