Question

Help!! At what values of (theta) for 0<(theta)<2pi do the maximum value(s), minimum value(s), and zero value(s) occur?

Answer 1

What is the function?

Answer 2

sorry, im totally new at this

Answer 3

Alright. Let's start with the max/min.

Answer 4

If you look at the graph, you'll notice that it never passes certain y-value, right?

Answer 5

yes

Answer 6

What are those "certain values"?

Answer 7

2 and -2

Answer 8

Right.
Now, this requires only small amount of thinking

Answer 9

If a function never crosses over 2, then the maximum value would be 2, right?

Answer 10

I'm on this same quiz right now! I can't figure this question out...

Answer 11

oh, yes right

Answer 12

i feel so dumb, hence my username

Answer 13

Same thing with -2;
if a function never crosses down -2, then the minimum value would be -2, right?

Answer 14

right

Answer 15

Well, that's your minimum and maximum values.
Now, let's move on to zeros.

Answer 16

okay!

Answer 17

First, we need to find out the scale of this graph.
In other words, how much does the x-value increase by for every square?

Answer 18

2?

Answer 19

For every four squares, it increases by pi

Answer 20

That means that for every square, it increases by ____

Answer 21

What goes in the blank?

Answer 22

um, im sorry i dont know

Answer 23

3.14?

Answer 24

4?

Answer 25

is it pi divided by 4?

Answer 26

Yes!

Answer 27

so 0.78?

Answer 28

Good job.
Now, let's go back to the original graph.