Functions f(x) and g(x) are shown below: f(x) = 2cos(x) courtesy of texas instruments using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.

f(x) = 2cos(x)
g(x)=3sin(x+pi)
The range of a function  is the set of all the possible dependent values that the relation can produce.

using a graphical tool we can visualize the maximum values of the range of the function

observing the attached graph

for
f(x) = 2cos(x)  the maximum value of y  is 2
and for 
g(x)=3sin(x+pi) he maximum value of y  is 3