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Chapter 3: 3.102 (page 331)

Determine whether each graph is the graph of a function

Short Answer

Expert verified

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

01

Given information :

Two graphs

02

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 .

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