Chapter 8.7, Problem 27WE

(a)

To determine

To find: The value of the given function.

Answer to Problem 27WE

The value of the given function is $Z:\frac{1}{3}\to 0$ .

Explanation of Solution

Given:

The given function is $Z:x\to \left|3x-1\right|$ .

The given set of real number is $Z\left(\frac{1}{3}\right)$ .

Calculation:

Consider the given function is,

  $Z:x\to \left|3x-1\right|$

Consider the real number $Z\left(\frac{1}{3}\right)$ .

Then,

  $\begin{array}{l}Z:\frac{1}{3}\to \left|3\left(\frac{1}{3}\right)-1\right|\\ Z:\frac{1}{3}\to 0\end{array}$

(b)

To determine

To find: The value of the given function.

Answer to Problem 27WE

The value of the given function is $Z:0\to 1$ .

Explanation of Solution

Given:

The given function is $Z:x\to \left|3x-1\right|$ .

The given set of real number is $Z\left(0\right)$ .

Calculation:

Consider the given function is,

  $Z:x\to \left|3x-1\right|$

Consider the real number $Z\left(0\right)$ .

Then,

  $\begin{array}{l}Z:0\to \left|3\left(0\right)-1\right|\\ Z:0\to 1\end{array}$

(c)

To determine

To find: The value of the given function.

Answer to Problem 27WE

The value of the given function is $Z:\frac{2}{3}\to 1$ .

Explanation of Solution

Given:

The given function is $Z:x\to \left|3x-1\right|$ .

The given set of real number is $Z\left(\frac{2}{3}\right)$ .

Calculation:

Consider the given function is,

  $Z:x\to \left|3x-1\right|$

Consider the real number $Z\left(\frac{2}{3}\right)$ .

Then,

  $\begin{array}{l}Z:\frac{2}{3}\to \left|3\left(\frac{2}{3}\right)-1\right|\\ Z:\frac{2}{3}\to 1\end{array}$