Question

The functions f(x) and g(x) are described using the following equation and table:

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)?
The y-intercept of f(x) is equal to the y-intercept of g(x).

The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).

The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answer 1

x= -1, 0, 1, 2
y= -5, -3, -1, 1

Answer 2

so to find the y-intercept for f(x), set x =0, that is \(\bf y = -3(1.02)0\) and solve for "y"

to find the y-intercept for g(x), just look at the table, see when "x" is 0,

Answer 3

So g(x)=-3 and f(x)=-3.06?

Answer 4

yeap

Answer 5

so the last one is right? maybe?

Answer 6

hmm I'd say none really, because none of the choices compare them well

Answer 7

-3 and -3.06 do not have a "2" as multiplier, just that one of 1.06 from the parentheses

Answer 8

so what one should i put for the answer

Answer 9

hmm wait... a sec... ... darn..

Answer 10

anyhow I guess my bad ... well... \(\bf f(x) = -3(1.02)0\implies f(x)=-3\cdot 0\implies f(x)=0\)
still though

Answer 11

unless you meant \(\bf f(x) = -3(1.02)^x\)

Answer 12

yes

Answer 13

well, then recall that anything raised to 0, is 1

Answer 14

Okayy

Answer 15

\(\bf f(x) = -3(1.02)^x\implies f(x) = -3(1.02)^0\implies f(x) = -3\cdot 1
\\ \quad \\
\implies f(x) = -3\)

Answer 16

So a

Answer 17

yeap, they're both equal

when x = 0 for f(x), the y-intercept is -3
from the table, for g(x) is the same

Answer 18

Thank you. Can you help me with another question?

Answer 19

you can always post anew, thus more exposure and we can revise each other

Answer 20

Okay

Answer 21

@hartnn could you help me with this one? i have the same table given up top but the equation i have is f(x)=-6(1.02)^x

Answer 22

to get y-intercept of f(x) , plug in x= 0 in f(x)
what do u get ?

Answer 23

i got 1

Answer 24

no...
f(0) = -6(1.02)^0 = ...?

Answer 25

anything to the power of zero is 1 i thought?

Answer 26

yes, but there is -6 too!

f(0) = -6*1 = -6

Answer 27

oh!!!!!

Answer 28

so would the answer be B?

Answer 29

g(x) ---> -3
f(x) ----> -6

yes B :)

Answer 30

can you help me in another?(=

Answer 31

i can try :)

Answer 32

@hartnn

Answer 33

hello? @hartnn

Answer 34

f is 5^x
g is -3

f+g will be 5^x -3