Whether the curve is the graph of a function of x .

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.2, Problem 51E

a.

To determine

Whether the curve is the graph of a function of x .

Expert Solution

The curve of the graph is the function of x .

Explanation of Solution

Given information :

Concept used : A curve in the coordinate plane is the graph of a function if and only if no vertical line intersects the curve more than once.

No vertical line intersects the curve of the graph more than once, hence the curves of the graph is the function of x .

b.

To determine

Whether the curve is the graph of a function of x .

Expert Solution

The curve of the graph is not the function of x .

Explanation of Solution

Given information:

Concept Used: A curve in the coordinate plane is the graph of a function if and only if no vertical line intersects the curve more than once.

Vertical line AB intersects the curve of graph twice. So, the curve of the graph is not a function of x .

c.

To determine

Whether the curve is the graph of a function of x .

Expert Solution

The curve of the graph is function of x .

Explanation of Solution

Given information:

Concept used : A curve in the coordinate plane is the graph of a function if and only if no vertical line intersects the curve more than once.

No vertical line intersects the curve of the graph more than once, hence the curves of the graph is the function of x .

d.

To determine

Whether the curve is the graph of a function of x .

Expert Solution

The curve of the graph is not the function of x .

Explanation of Solution

Given information :

Concept used : A curve in the coordinate plane is the graph of a function if and only if no vertical line intersects the curve more than once.

Vertical line CD intersects the curve of graph twice. So, the curve of the graph is not a function of x .

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