Question

Compare the functions shown below: f(x) = 3 cos 2x + 4 g(x) cosine graph with points at 0, 3 and pi over 2, 0 and pi, negative 3 and 3 pi over 2, 0 and 2 pi, 3 h(x) x y −6 −11 −5 −6 −4 −3 −3 −2 −2 −3 −1 −6 0 −11 Which function has the greatest maximum y-value?

Answer 1

See the attached figures.

Figure_1 is a clear presentation of the problem and contains the graph of the function g(x), while figure_2 contains of the graph of f(x) and h(x).

As shown in the figures.

f(x) representing a cosine function and it has maximum y-value = 7

g(x) representing a cosine function and it has maximum y-value = 3

h(x) representing a parabola function and it has maximum y-value = -2

So, The function with the greatest maximum y-value is f(x)