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Mathematics 16 Online
OpenStudy (kimberly_pr):

Compare the functions shown below: Which function has the greatest maximum y-value?

OpenStudy (kimberly_pr):

f(x) = 3 cos 2x + 4

OpenStudy (kimberly_pr):

g(x) = (see the graph attached)

OpenStudy (kimberly_pr):

h(x) = x y −6 −11 −5 −6 −4 −3 −3 −2 −2 −3 −1 −6 0 −11

OpenStudy (kimberly_pr):

@hartnn @Hero @Mehek14 @nincompoop

OpenStudy (kimberly_pr):

@jigglypuff314 @jabez177 @Preetha

OpenStudy (kimberly_pr):

@sammixboo @just_one_last_goodbye @Elsa213

OpenStudy (kimberly_pr):

@MyNameIsNemo

OpenStudy (kimberly_pr):

@sweetburger @CandyCove @logan13

OpenStudy (kimberly_pr):

@RhondaSommer @SnuggieLad @Christos

OpenStudy (kimberly_pr):

@countrygirl1431 @Jadedry

hero (hero):

Hmmm, looks like for one of the functions, the y values are all negative.

OpenStudy (kimberly_pr):

True, but I need to know which function has the greatest maximum y-value. Can you help me with that? @Hero

hero (hero):

By default, you can eliminate h(x) since its y values are all negative. So, now it's basically between f(x) and g(x).

hero (hero):

Here's what you should observe about g(x). It's maximum value is only 3. Nevertheless I will ask you this: for f(x), what is the result when x = 0?

OpenStudy (kimberly_pr):

give me a sec, let me do the problem

hero (hero):

That's the spirit!

OpenStudy (kimberly_pr):

I got 2.99

hero (hero):

So for f(x) = 3*cos(2x) + 4 when you enter 0 for x which results in f(0) = 3*cos(2(0)) + 4, the result you get is 2.99?

OpenStudy (kimberly_pr):

Wait... Actually it's 7, I did something wrong the first time I tried to solve it

OpenStudy (kimberly_pr):

So the answer is f(x) right? Thank you so much :)

hero (hero):

Correct. So looks to me like in terms of max values f(x) > g(x) > h(x)

OpenStudy (kimberly_pr):

Thanks :) Can you help me with another one?

OpenStudy (kimberly_pr):

Wbu? @RhondaSommer can you help me with another one?

OpenStudy (kimberly_pr):

Oh yay you're back :) @Hero

hero (hero):

Welcome to OS @Kimberly_PR

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