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Find the period, range, and amplitude of the cosine function.y = –3 cos 4x

Sagot :

Given

[tex]y=-3cos4x[/tex]

Find

Period, range and amplitude of the cosine function

Explanation

For the given case, A = -3 , B = 4 , C = 0, D = 0

the amplitude is the absolute value of A ,

[tex]\lvert{-3}\rvert=3[/tex]

The period is

[tex]\frac{2\Pi}{B}=\frac{2\Pi}{4}=\frac{\Pi}{2}[/tex]

Range is

[tex]-3\leq x\leq3[/tex]

Final Answer

Amplitude is 3

Period is

[tex]\frac{\Pi}{2}[/tex]

Range

[tex]-3\leq x\leq3[/tex]
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