Question

In Problems 35–58, graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.

$y=4\cos x$

Short answer

The graph of$y=4\cos x$:

• The domain of function is$\left(-\infty ,\infty \right)$
• The range is$\left[-4,4\right]$

Step-by-step solution

Step 1. Given information

Given function is:

$y=4\cos x$

Step 2. Graph of y=cosx

As we know the graph of $\cos x$:

Step 3. Vertically stretch the graph of y=cosx by a factor of 4.

The graph of $y=4\cos x$is plotted as:

• The domain of the function is a set of real numbers:$\left(-\infty ,\infty \right)$.
• The range of the function is$\left[-4,4\right]$.