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Chapter 6: Q. 35 (page 410)

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=4cosx

Short Answer

Expert verified

The graph ofy=4cosx:

  • The domain of function is-∞,∞
  • The range is-4,4

Step by step solution

01

Step 1. Given information

Given function is:

y=4cosx

02

Step 2. Graph of y=cosx

As we know the graph of cosx:

03

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

The graph of y=4cosxis plotted as:

  • The domain of the function is a set of real numbers:-∞,∞.
  • The range of the function is-4,4.

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