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Chapter 6: Q. 35 (page 410)

In Problems 35鈥�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-鈭�,鈭�
  • 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:-鈭�,鈭�.
  • The range of the function is-4,4.

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