BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 2.2, Problem 52E

a.

To determine

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

Expert Solution

Answer to Problem 52E

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

Explanation of Solution

Given information :

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 52E , additional homework tip  1

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.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 52E , additional homework tip  2

Vertical line AC intersects the curve of graph thrice at points A , B and C . So, the curve of the graph is not a function of x .

b.

To determine

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

Expert Solution

Answer to Problem 52E

The curve of the graph is function of x .

Explanation of Solution

Given information:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 52E , additional homework tip  3

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 .

c.

To determine

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

Expert Solution

Answer to Problem 52E

The curve of the graph is function of x .

Explanation of Solution

Given information:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 52E , additional homework tip  4

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 one, 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

Answer to Problem 52E

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

Explanation of Solution

Given information :

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 52E , additional homework tip  5

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.

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 52E , additional homework tip  6

Vertical line EH intersects the curve of graph at points E , F , G and H . So, the curve of the graph is not a function of x .

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