Question

2. Which function has the greatest maximum y-value?
f(x)

g(x)

h(x)

All three functions have the same maximum y-value.

[Spoiler Alert its not h(x)]
Brainliest it you can explain why!

Answer 1

Answer:

A: Function f.

Step-by-step explanation:

Let's find the maximum y-value of each function.

Function f  is given by:

$f(x)=3\cos(2x)+4$

Remember that the value of cosine is always between -1 and 1. In other words:

$-1\leq \cos(x)\leq 1$

Then assuming the greatest value for cosine, we can substitute it for one:

$f(x)_{\text{max}}=3(1)+4=7$

Function g is given by the graph.

Looking at the graph, we can see that the maximum y-value of g is 3.

Finally, function h is given by the table.

Looking at the table, the maximum y-value of h is -2.

Therefore, function f has the greatest maximum y-value.