How to do this question, showing working out?

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1 Answer
Jim H
Mar 5, 2018

Please see below.

Explanation:

Multiplying by #3# changes the amplitude. Instead of a range from #-1# to #1#, #f# will range from #-3# to #3#.

Changing the argument from #t# to #2pit# means that we will complete one full period of the sine graph in a distance if #1!. Since the domain is simply #{0,1]#, the graph is one period of the sine graph.

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The #t# intercepts are #0#, #1/2# and #1#.

The maximum is at #t=1/4# and the minimum at #t=3/4#

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