# 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 42E
To determine

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

Expert Solution

### Explanation of Solution

Given information :

f(x)={1x2    if  x2x           if  x>2

Graph :

 x −3 −1 0 1 2 3 4 5 f(x) −8 0 1 0 −3 3 4 5

This is the graph of the given piecewise defined equation.

Interpretation : The part of the graph to the left of x=2 coincides with the graph of f(x)=1x2 and the part of the graph to the right of x=2 coincides with the graph of f(x)=x . The open dot at (2,2) indicates that this point is excluded from the graph.

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