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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1, Problem 27RCC

a.

To determine

Explain the meaning of each type of symmetry.

Expert Solution

The graph is reflect over the

**Given information:**

Explain the meaning of each type of symmetry. How do you test for it? Symmetry with respect to the

**Calculation:**

Graph of any function can have certain symmetrical properties that have both graphical and algebraic meaning.

A graph can be symmetrical with respect to

On comparing reflecting over

Hence, the graph is reflect over the

b.

To determine

Explain the meaning of each type of symmetry.

Expert Solution

The graph is reflect over the

**Given information:**

Explain the meaning of each type of symmetry. How do you test for it? Symmetry with respect to the

**Calculation:**

Graph of any function can have certain symmetrical properties that have both graphical and algebraic meaning.

A graph can be symmetrical with respect to

We can define this property algebraically by the condition:

On comparing reflecting over

Hence, the graph is reflect over the

c.

To determine

Explain the meaning of each type of symmetry.

Expert Solution

The graph is rotate

**Given information:**

Explain the meaning of each type of symmetry. How do you test for it? Symmetry with respect to the origin.

**Calculation:**

Graph of any function can have certain symmetrical properties that have both graphical and algebraic meaning.

A graph can be symmetrical with respect to origin, if we consider such a graph as representing a function, then the function is said to be an “odd function.”

Algebraically

To test for symmetrical with respect to origin graphically, rotate the function

Hence, the graph is rotate