Question

f(x) = -3(1.02)x

x g(x)
-1 -5
0 -3
1 -1
2 1

Which statement best compares the y-intercepts of f(x) and g(x)?

a) The y-intercept of f(x) is equal to the y-intercept of g(x).
b) The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
c)The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
d) The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answer 1

Hmm

if you plug x=0 to both functions, what is the y output?

Answer 2

hmmmm wym

Answer 3

for 2nd one you have to do "NOTHING*
because y-intercept is on the y-axis when x = 0 like dtan457 said
so for 2nd when when x = 0
y = ???

Answer 4

i think the x in the first is a power, people always miss typing the ^x for some reason

Answer 5

@DanJS

that explains it, i couldn't even find the answer with the regular equation

Answer 6

in that case it will look like

Answer 7

a^0 = 1

so
f(0) = -3*1.02^0 = -3*1 = -3

Answer 8

The y-intercept is the value of the function when x=0.

f(0) = -3*(1.02)^0 = -3

From the chart, when x=0, g(x) = -3

f(0) = g(0) = -3

Answer 9

wow i am so lost

Answer 10

i can understand

Answer 11

so y-intercept always on y - axis
right when x = 0
ALWAYS

Answer 12

g(x) states then when x=0, y=-3, which makes the intercept -3.

-3(1.02)^0<<<<what does that equal? (that is x=0)

Answer 13

note: anything ^0=1

Answer 14

it equals -3

Answer 15

exactly. if x=0, and both y=-3, what is the answer to your question?

Answer 16

what is it?

Answer 17

what is y-intercept of f(x)
and
what is y-intercept of g(x) ???

Answer 18

ughhhh idkkk

Answer 19

hmmmm did you read above comments ^^^

Answer 20

you just said that its equal to ??

Answer 21

it equals to -3

Answer 22

yes f(x)<--- f of x same as y
what about g(x)=y= ??

Answer 23

g(x) y-intercept
so what is y-intercept of the table ??

Answer 24

of what??? what do you mean omg

Answer 25

y-intercept of g(x)

Answer 26

yeah but what numbers

Answer 27

y -intercept WHEN x equal 0
when x is 0 y is ??