BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.2, Problem 45E
To determine

To sketch : The graph of the given function.

Expert Solution

Explanation of Solution

Given information :

  f(x)={4             if  x<2x2           if  2x2x+6     if x>2

Graph :

    x432101234
    f(x)444101432

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 45E

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)=4 and the part of the graph to the right of x=2 coincides with the graph of f(x)=x+6 . The part of the graph between x=2 and x=2 coincides with f(x)=x2 .

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