Question

Help

Answer 1

@Vocaloid

Answer 2

C

Answer 3

good

Answer 4

either b or c

Answer 5

what's the domain?

Answer 6

remember that domain is the possible x values where a function is defined

Answer 7

A

Answer 8

keep in mind the sin function goes forever in either direction to infinity/-infinity

Answer 9

C

Answer 10

awesome

Answer 11

Because all real

Answer 12

False

Answer 13

True

Answer 14

sorry

Answer 15

we used the unit circle earlier to determine sin values for angles between 0 to 2pi, correct? because the angles are in a circle, they repeat themselves every 2pi units, hence the idea of a sinusoidal repeating function is linked to the idea of moving points around a circle

Answer 16

so yeah true

Answer 17

A

Answer 18

good

Answer 19

False

Answer 20

good

Answer 21

D

Answer 22

Hm. I'm not 100% sure on this one. My instinct says that pollution would steadily increase over time (not periodic) but I don't think the other answers are better

so hesitantly agree with D

Answer 23

A

Answer 24

good

Answer 25

C

Answer 26

notice how the y values are bound between -1 and 1 for sin(x)? for 2*sin(x) what do you think the new bounds might be?

Answer 27

A

Answer 28

um b

Answer 29

so the old "max" of sin(x) is 1, if we double sin we double the max, right? same thing with the minimum

Answer 30

so what do you think the new min and max are?

Answer 31

D

Answer 32

awesome, D

Answer 33

D

Answer 34

if we look at y = sin(x) this yellow graph, it crosses through the point (0,0) so D can't be it, any other guesses?

Answer 35

well it has to be neg then?

Answer 36

not necessarily

Answer 37

as a hint try looking at a graph of cos(x)

Answer 38

Oh A

Answer 39

awesome

Answer 40

3

Answer 41

that's a good guess but a period of sin goes from 0 to 2pi, how many zeros are between this region?

Answer 42

1

Answer 43

wait 5?

Answer 44

Sure, take your time

Answer 45

alright, so if we test an interval like [0.1 to 0.1 + 2pi] we only get zero's, one in the middle and one at 2pi

so my best guess would be the 2 zeros + max + min = 4?

Answer 46

(I guess it also makes sense if you think about the unit circle)

Answer 47

Okay so 4

Answer 48

yeah that's my best bet