MATH SOLVE

3 months ago

Q:
# What happens to the function f(x) = acosx when the value of a increases?The period decreases.The period increases.The amplitude decreases.The amplitude increases.

Accepted Solution

A:

Answer:In the given function if the value of a increases then: The amplitude increases.Step-by-step explanation:The amplitude of a sine or cosine function is the maximum distance it could go above or down the mid-line of the function.The cosine function f(x) is given by: [tex]f(x)=a\cos x[/tex]where |a| denote the amplitude of the function.( The amplitude of the function:[tex]f(x)=\cos x[/tex] is 1 )Also, the period of this function is: 2πHence, if a increases then the amplitude of the function will increase.