Question

Compare the functions below?

Answer 1

Is it B?

Answer 2

This is a problem that requires you to look at the graph and the data table. As you can see, the values for g(x) in the y column are all negative. while f(x) has values that have positive y-values (eg. when x=pi, y = 3)

Answer 3

I looked at the graph and data table and got B?

Answer 4

Oh I didn't see h(x) let me take a look again

Answer 5

Ok the answer isn't B

Answer 6

You can knock out g(x) since it has y-values that are all negative. Compare f(x) and h(x)

Answer 7

These functions will have maximum y-values when their respective trig components = 1

Answer 8

f(x)

Answer 9

not quite

Answer 10

see where sin(x) and cos(x) =1 for both functions. Look at the graph for f(x), plug in a coordinate for h(x)

Answer 11

first off what is the maximum y value for f(x) according to the graph?

Answer 12

So the answer is D?

Answer 13

yes but why?

Answer 14

Can you explain though because I need to show my work

Answer 15

Look at the graph. What is the max value shown for y?

Answer 16

Wait they are the same right?

Answer 17

No they aren't

Answer 18

so? what is the maximum y-value for f(x)?

Answer 19

What? I am not sure. Can you explain all this to me?

Answer 20

just from the graph shown

Answer 21

If you look at pi what value can be seen on the y-axis?

Answer 22

3

Answer 23

yes

Answer 24

So now you know that f(x) has a maximum value of 3 for y

Answer 25

since it is the largest y-value shown on the graph

Answer 26

Now compare it with h(x)

You know that h(x) has a trig function in it, cos(x). This will have a maximum y-value when cos(x)=1 since the trig function can only take values from (0,2npi) according to the x-axis labelled on the graph

Answer 27

set cos(x)=1 and what value do you get for h(x)?

Answer 28

Yes, and?

Answer 29

I actually have two questions that one and this one, I need to show work for both

Answer 30

You still didn't finish this one. what value do you get when you set cos(x)=1?

Answer 31

1.85

Answer 32

no I don't mean plug 1 into x. cos(x) becomes 1

Answer 33

so the equation turns into 2(1)+1

Answer 34

Okay so what do I put to show my work?

Answer 35

And what about second one?

Answer 36

What is the answer you get when you substitute cos(x)=1 into h(x)?

Answer 37

I don't know this is taking a long time

Answer 38

It can take as long as it needs. 2(1)+1=?

Answer 39

If you'd like to understand you need to go through the steps so you can show your work.

Answer 40

I will just try finding it

Answer 41

HelP?