Question

is this a function? graph of a line options: no, yes

Explanation:

Step1: Recall Function Definition

A function is a relation where each input (x - value) has exactly one output (y - value). We can use the vertical line test: if any vertical line drawn through the graph intersects the graph at more than one point, it is not a function.

Step2: Apply Vertical Line Test

For the given linear graph, any vertical line will intersect the graph at most once. This means each x - value is associated with exactly one y - value.

Answer:

Yes