# 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 34E
To determine

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

Expert Solution

### Explanation of Solution

Given information :

f(x)={1        if  x1x+1   if  x>1

Graph :

 x 0 1 2 4 5 −1 −3 f(x) 1 1 3 5 6 1 1 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=1 coincides with the graph of f(x)=1 and the part of the graph to the right of x=1 coincide with the graph of f(x)=x+1 .

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