Question

look at this graph:
is this relation a function?
yes no

Explanation:

Step1: Recall the vertical line test

A relation is a function if every vertical line intersects the graph at most once.

Step2: Apply the vertical line test to the ellipse

For the given ellipse graph, if we draw a vertical line (parallel to the y - axis) through the ellipse, it will intersect the ellipse at two points. This means that there exists at least one x - value that is paired with more than one y - value. So, the relation does not pass the vertical line test.

Answer:

no