Chapter 8, Problem 8STP

To determine

To find: The correct option.

Answer to Problem 8STP

The domain of the function is $x=R$ .

Explanation of Solution

Given:

The given function is $y={\left(\frac{1}{2}\right)}^x$ .

The given graph is shown in Figure 1

  

Figure 1

Calculation:

Consider the given function is

  $y={\left(\frac{1}{2}\right)}^x$

The graph shows that the value of the $x$ contains all the negative and positive integers. Therefore, the domain have all the real numbers. The value of $y$ contains only the positive real numbers. So, the range have all the positive real numbers.

The domain of the function is,

  $x=R$

The range is of all the positive real numbers $y>0$ .