Question

Determine whether each graph is the graph of a function

Short answer

The graph (a) does not pass vertical line test. So, this graph is not the graph of a function .

The graph (b) passes vertical line test. So, it is the graph of a function .

Step-by-step solution

Given information :

Two graphs

Vertical line test

Draw vertical lines on the graph .

The vertical line intersects the ellipse graph at two points. So, graph(a) is not the graph of a function.

The vertical lines intersects the graph in at most one point. We can say that the graph passes vertical line test.

So the graph(b) is the graph of a function .