# The graph of the given function.

### 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 36E
To determine

## To sketch : The graph of the given function.

Expert Solution

### Explanation of Solution

Given information :

f(x)={1x      if  x<25           if  x2

Graph :

 x 0 1 −1 −2 −3 −4 −6 f(x) 5 5 5 5 4 5 7

The above curve is the graph of the given piecewise defined equation.

Interpretation : All the values of f(x) are positive. The part of the graph to the left of x=2 coincides with the graph of f(x)=1x and the part of the graph to the right of x=2 coincide with the graph of f(x)=5 .

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