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 2.7, Problem 70E
To determine

To sketch: The graph of the function f(x)=|x||x6| .

Expert Solution

Explanation of Solution

Given information: f(x)=|x||x6| .

Graph:

    x-2 -1 0 3 2
    f(x) -4 -1 0 9 4

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.7, Problem 70E

Interpretation:

The horizontal line test is a method that can be used to determine if a function is a one-to-one function. This means that, for every y-value in the function, there is only one unique x-value.

So, it is clear from the graph that the horizontal line cuts only once the graph.

Thus is a one-to-one graph.

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