Question

determine whether the following graph represents a function.
answer attempt 1 out of 2
the graph represent a function because is mapped to .

Explanation:

Step1: Apply Vertical Line Test

Draw any vertical line $x=a$ (where $a>0$) on the graph.

Step2: Check Intersection Count

Each vertical line $x=a$ intersects the graph at 2 distinct points.

Step3: Apply Function Definition

A function requires each input $x$ to map to exactly one output $y$.

Answer:

The graph does not represent a function because at least one input value is mapped to more than one output value.