# To graph: the function f ( x ) = − x 4 using the graph of a standard function and then applying transformations. ### 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 2.5, Problem 31E
To determine

## To graph: the function f(x)=−x4 using the graph of a standard function and then applying transformations.

Expert Solution

### Explanation of Solution

Given information:

the function is f(x)=x4

Graph:

To plot the graph of f(x)=x4 ,use the plotting points method, substitute different value of x on f(x)=x4 to determine corresponding value of f(x) .

The table is thus obtained as:

 x 16 81 256 1 y 2 3 4 1

now plot each point of x along the horizontal axis and the corresponding value of f(x)=y along vertical axis and connect each point to form a smooth curve.

The graph of f(x)=x4 is obtained as: Now, the graph of f(x)=x4 is the graph of f(x)=x4 reflectedin y -axis.

The graphof f(x)=x4 is obtained as: Interpretation:

From the above graph it can be obtained that the graph of f(x)=x4 is obtained by reflectingthe graph of f(x)=x4 in y -axis.

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