Question

PLEASE HELP FAST!

Functions f(x) and g(x) are shown below:

Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.

Answer 1

Given two functions are

f(x) = 2 cos(x)

g(x) = 3 sin(x+
`\pi`)

We know that the maximum value of cos x and sin x is always 1

y= maximum of cos = 1

y= maximum of sin =1

f(x) = 2 cos(x)

y= 2 (max of cos) = 2(1) = 2

g(x) = 3 sin(x+
`\pi`)

y= 3 (max of sin) = 3(1) = 3

g(x) = 3 sin(x+
`\pi`) has the maximum value.