Question

Given four functions, place them in order of their y-intercept, from highest to lowest.

Answer 1

@phi

Answer 2

@jhonyy9

Answer 3

any idea what the y-intercept is for f(x) ?

Answer 4

2

Answer 5

for g(x), the y-intercept is the number you get when x=0
what is
8*20^0
?

remember a number to the 0 power is 1

Answer 6

160

Answer 7

8*20^1 is 8*20 = 160

what is 20^0
?

Answer 8

20

Answer 9

remember a number to the 0 power is 1

Answer 10

ohhhh so its 20

Answer 11

or 160

Answer 12

you are stubborn.

20^1 is 20
20^2 is 20*20

20^0 is not 20
(and it's not obvious, so read what I posted up above)

Answer 13

lol im sorry im confusing myself its 1

Answer 14

yes. so 8*20^0 is 8*1 = 8
that is the y-intercept for g(x)

Answer 15

i feel dumb now haha i promise i knew this been taking a math test for 3 hrs

Answer 16

okay

Answer 17

any guess for y-intercept of h(x) ?

Answer 18

5?

Answer 19

yes, 5.
I think they assume x is "time" and we start at "time 0" i.e. x=0
and at the start x=0 we have 5, so that is the y-intercept (the value when x is 0)

Answer 20

okay then the last one

Answer 21

for j(x)
I look at the pattern "backwards" 2,4,8,...
any guess what the next number is ?

Answer 22

2?

Answer 23

2,4,8, 2?
I see a different pattern: I look to "add the same number"
as in 2 to 4 add 2, then 4+2 = 6 oops, does not match 8
then I look for "multiply by the same number"
2 to 4, 2*2 = 4
4*2 = 8, that works
so I would use that as the pattern

Answer 24

still not getting the int

Answer 25

2,4,8,...
what number do you multiply each number to get the next number ?

Answer 26

2

Answer 27

and if you use that with 8, what is the next number after 8?

Answer 28

16

Answer 29

so the pattern for j(x) is
x j(x)
0 16
1 8
2 4
3 2

now we can see what the y-intercept is

Answer 30

ok so it is 16

Answer 31

can you help with one more problem please?

Answer 32

now, they want the functions sorted big intercept to small

Answer 33

i got that part

Answer 34

can you just help with my last question

Answer 35

@phi

Answer 36

it seems to be missing info

Answer 37

thats the whole question im very confsed

Answer 38

it does not give us the starting temperature.

Answer 39

what would be the best to put as a guess lol

Answer 40

it's goofy. But based on the answers, I would let x=5
and figure out
(0.5)^(x-10)
what do you get ?

Answer 41

32

Answer 42

then they say it cools an additional -x-1
with x= 5 , that gives -6
so I guess the answer is 32-6