Which function f (x) , graphed below, or g (x) , whose equation is g (x) = 3 cos 1/4 (x + x/3) + 2, has the largest maximum and what is the value of this maximum?

f(x), and the maximum is 3.

g(x), and the maximum is 5.’

f(x), and the maximum is 2.

g(x), and the maximum is 2.

Second option

g(x), and the maximum is 5.’

Step-by-step explanation:

In the graph it can easily be seen that the maximum value reached by the function f(x) is y = 3.

Then, the function g (x) is:

By definition the function

reaches its maximum value when x = 0,  ,  , ...,

So

When  entonces .

Thus:

.

Therefore the function that has the greatest maximum is g(x) when

The answer is the second option

16

step-by-step explanation:

c ) y = 2.5 x - 26.25