Question

What is the amplitude of the function f(x) = -3cos(πx)?​

Answer 1

SOLUTION

TO DETERMINE

The amplitude of the function

$\sf{f(x) = - 3 \cos(\pi x) \: }$

CONCEPT TO BE IMPLEMENTED

For a function f(x) of the form

$\sf{f(x) = a \cos(bx - c) + d\: }$

$\sf{The \: amplitude \: of \: the \: function \: = |a| }$

EVALUATION

Here the given function is

$\sf{f(x) = - 3 \cos(\pi x) \: }$

Comparing with

$\sf{f(x) = a \cos(bx - c) + d\: } \:$

We get a = - 3

Hence the amplitude of the function is

$\sf{ = | - 3| \: }$

$\sf{ = 3\: }$

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