Question

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

f(x) is a multiple of the cosine function. g(x) is a multiple of the sine function. Both the cosine function and the sine function have a maximum value of 1, so the magnitude of the multiple will determine which function has the largest maximum value.

The multiple for f is 2; the multiple for g is 3, which is greater than 2. Hence g(x) has a larger maximum value than f(x).