Question

Functions f(x) and g(x) are shown below: f(x) = 2cos(x)

Answer 1

that picture is funky

Answer 2

hold on will get another

Answer 3

@satellite73

Answer 4

what are the full instructions?

Answer 5

oh sorry here u go:

Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.

Answer 6

Do you know how to find the max on the graph?

Answer 7

no

Answer 8

look for the highest point

Answer 9

what is the y coordinate of this highest point?

Answer 10

3

Answer 11

yes, so the max of g(x) is 3

Answer 12

The largest that `cos(x)` can get is 1. The smallest it can get is -1, so
\[\Large -1 \le \cos(x) \le 1\]
now multiply all sides by 2
\[\Large -1*2 \le 2*\cos(x) \le 2*1\]
\[\Large -2 \le 2\cos(x) \le 2\]
The largest that `2cos(x)` can get is 2. So the max of f(x) is 2

Answer 13

so that would be the whole answer correct?

Answer 14

here are the 2 graphs drawn together

https://www.desmos.com/calculator/odrbghj2rc

Answer 15

yes, the max of f(x) is 2 while the max of g(x) is 3

so g(x) goes the highest of the two graphs