Question

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.

Answer 1

This is the answer I got on edge 2020. Hope this reaches someone who needs it!

(quarantine 2020)

Answer 2

In the given function if the value of a increases then:

• The amplitude increases.

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:

`f(x)=a\cos x`

where |a| denote the amplitude of the function.

( The amplitude of the function:

`f(x)=\cos x` is 1 )

Also, the period of this function is: 2π

Hence, if a increases then the amplitude of the function will increase.