Question

look at this graph: graph of a circle centered at the origin on a coordinate grid is this relation a function? yes no

Explanation:

Step1: Recall Function Definition

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

Step2: Apply Vertical Line Test

For the circle graph, take a vertical line (e.g., \(x = 0\) or any vertical line through the circle). A vertical line will intersect the circle at two points (e.g., for \(x = 0\), it intersects at the top and bottom of the circle). So, the graph fails the vertical line test.

Answer:

no