Question

http://prntscr.com/noxuse

Answer 1

@Vocaloid

Answer 2

@Tranquility @Hero @Narad

Answer 3

notice that it's still decreasing by a rate of 1/2 but they changed the initial value from 1 to 2

Answer 4

y=(1/2)^x-1 ?

Answer 5

why change the exponent

remember that an exponential function is (initial value)(rate of change)^x

Answer 6

so y=(1/2)^x without the 1?

Answer 7

initial value = 2
rate of change = 1/2

(initial value)(rate of change)^x

Answer 8

y=2(1/2)^x

Answer 9

yes

Answer 10

http://prntscr.com/noxzci

Answer 11

so we need to plug in some values into the original function to see what they did

2^x gives (0,1) and (-1,1/2)
the new graph has (0,3) and (-1,3/2)

so it's apparent they multiplied the original function by 3 to get the new function

Answer 12

y=2^x(3) ?

Answer 13

the 3 would typically go on the left side but yes

Answer 14

okay

Answer 15

http://prntscr.com/noxzuc

Answer 16

are these right?^

Answer 17

remember that for an exponential function y = ab^x, b is defined to be between 0 and 1

if it's less than 1, this is decay (the higher up you go in the exponent, the smaller and smaller the original number gets)

making 12 true

13 is good

Answer 18

Oh okay that makes sense

http://prntscr.com/noy2ci

Answer 19

good

Answer 20

http://prntscr.com/noy3ye

Answer 21

good

Answer 22

http://prntscr.com/noy4cf

Answer 23

good

Answer 24

http://prntscr.com/noy5db

Answer 25

good

Answer 26

http://prntscr.com/noy72k

Answer 27

good

Answer 28

http://prntscr.com/noy7d6

Answer 29

good

Answer 30

http://prntscr.com/noy97t

Answer 31

from the perspective of angle B, find adjacent/opposite

Answer 32

wait isnt it c?

Answer 33

tangent = opposite/adjacent which would be b/a
but it's asking for the cotangent

Answer 34

so a/b?

Answer 35

yes

Answer 36

http://prntscr.com/noycq6

Answer 37

cosecant = hypotenuse/opposite

Answer 38

c/a ?

Answer 39

the side that is ***opposite*** from angle B is not a

Answer 40

its angle c

Answer 41

no my bad its angle b