Question

Functions f(x) and g(x) are shown below:

Answer 1

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

Answer 2

@TheSmartOne @thomaster @phi

Answer 3

@Vocaloid

Answer 4

@perl @Preetha @PillowFace750 @sleepyjess

Answer 5

@confluxepic @Conqueror @Mehek14 @jhonyy9 @jigglypuff314 @jabez177 @rebeccaxhawaii

Answer 6

Please, bro

Answer 7

hint: what are the min and max of f(X)?

Answer 8

-2 and 2

Answer 9

Is that right? I just used Mathway.

Answer 10

yes

now, what do you think the min and max of g(x) is?

Answer 11

hint: what is the amplitude?

Answer 12

I'm guessing the minimum of of g(x) is -3 and the max is 3.

Answer 13

But how do I find the min and max of f(x)?

Answer 14

hint:

what is the amplitude of f(x)?

Answer 15

-3 is the smallest 3 is the largest

Answer 16

But that is for g(x)

Answer 17

for f(x), what is the amplitude?

Answer 18

hint:

___cos(X...)

the amplitude is the number that goes into the blank

Answer 19

Oh.

Answer 20

So the minimum is the opposite of the amplitude? @Vocaloid

Answer 21

(not always but, yes, in this case)

Answer 22

since the vertical shift is 0, the absolute value of the amplitude (2) is the max

Answer 23

and -2 is the min

Answer 24

Sweet.

Answer 25

Thanks!