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 2.1, Problem 26E
To determine

To evaluate f(x)=|x|x at a number, we substitute the number for x in the definition of f(x)

Expert Solution

Answer to Problem 26E

The values of the given functionare:

  f(2)=1,f(1)=1,f(0)=Undefined,f(5)=1,f(x2)=1,f(1x)=1

Explanation of Solution

Given information: consider the function f(x)=|x|x

Calculation:

Evaluate the values of the function f(x)=|x|x for the given values of the variable x

Plug the value x=2, in the function f(x)=|x|x then we get the value of f(2).

  f(2)=|2|2f(2)=22f(2)=1

Plug the value x=1, in the function f(x)=|x|x then we get the value of f(1).

  f(1)=|1|1f(1)=11f(1)=1

Plug the value x=0, in the function f(x)=|x|x then we get the value of f(0).

  f(0)=|0|0f(0)=00f(0)=Undefined

Plug the value x=5, in the function f(x)=|x|x then we get the value of f(5).

  f(5)=|5|5f(5)=55f(5)=1

Plug the value x=x2, in the function f(x)=|x|x then we get the value of f(x2).

  f(x2)=|x2|x2f(x2)=x2x2f(x2)=1

Plug the value x=1x, in the function f(x)=|x|x then we get the value of f(1x).

  f(1x)=|1x|1xf(1x)=1x1xf(1x)=1

Thus, the values of the given function are:

  f(2)=1,f(1)=1,f(0)=Undefined,f(5)=1,f(x2)=1,f(1x)=1

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