Chapter 6, Problem 1CT

To determine

To graph the function and write its domain, range and asymptote.

Explanation of Solution

Given information:

The given function is:

  $\text{y}={\left(\frac{1}{2}\right)}^{\text{x}}$

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press $\boxed{\text{Y=}}$ button.

Step 3: Enter the expression $\text{y}={\left(\frac{1}{2}\right)}^{\text{x}}$ which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

  

Interpretation :

The domain of $\text{x}$ is all real numbers $\left(-\infty ,\infty \right)$

The range is $\left(0,\infty \right)$

The asymptote is $\text{y}=0$