Question

The functions f(x) and g(x) are described using the following equation and table:
f(x) = -6(1.02)^x

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

Which equation 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

@vishweshshrimali5

Answer 2

the y intercept id the value of the function when x = 0

Answer 3

so for f(x) y-intercept is -6(1.02)^0
what does that work out to?

Answer 4

would it be -6.12

Answer 5

you can find the y-intercept of g(x) just by reading off the table.

Answer 6

No
what is (1.02)^0
in fact any numbet ^ 0 = the same value

Answer 7

it's 1

Answer 8

so it would be 1.02

Answer 9

right so f(x) = -6*1 at y-intercept

Answer 10

No 1.02^0 = 1
so -6* 1.02^0 = -6*1 = -6

Answer 11

right sorry i got confused but I remember now

Answer 12

so it would be -6

Answer 13

yes

Answer 14

Now read off the value of g(x) at y-intercept

Answer 15

- its the values when x = 0, right?

Answer 16

* value

Answer 17

yes

Answer 18

so to find out the answer I just substitute the y- values into the f(x) equation?

Answer 19

for example, I would substitute -5, -3, -1, and 1?

Answer 20

nO
we are comparing y-intercepts of f(x) and g(x) we have found its value for f(x). Now we must find value for g(x) - from the given table.

Answer 21

check the g(x) table

Answer 22

those are all the y-values?

Answer 23

I mean y-intercepts?

Answer 24

yes g(x) value are the y-values.

Answer 25

No only one is the y intercept

Answer 26

oh so the f(x) are the y-intercepts?

Answer 27

theres no calculation involved - just read it off the table.

the g(x) values are y-values for the given values of x. The y -intercepts is value of g(x) when x = 0.

Answer 28

ok so now that we know the f(x) when it equals 0 am I just supposed to look at the table to find the g(x) values?