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Chapter 8: Q. 4 (page 556)

Graph the functiony=3sinπx

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given Information

The given function isy=3sinπx.

02

Step 1. Plot the sin graph

  • Plot the graph for y=sinx.

03

Step 3. Change the period

  • The period of sinxis2π
  • So, the period of sinπxwill be 2.
  • Change the period of the graph from 2πto 2 and obtain the graph.

  • The dotted line shows the initial graph and the solid line is the graph with period change.
04

Step 4. Scale the function

  • The obtained graph is of the function y=sinπx.
  • Scale the graph by a scaling factor of 3 to obtain the graph of y=3sinπx.

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