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

Answer 1

@jdoe0001

Answer 2

And here are the answer choices

Answer 3

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 4

hmmm how to find the y-intercepts anyway?

Answer 5

This would help me greatly, How do I find the y intercept on a table

Answer 6

Yeah, I have the same issue :/

Answer 7

http://www.mathsisfun.com/algebra/finding-intercepts-equation.html <--- what do you think about say f(x)?

Answer 8

What?

Answer 9

hmmm did you see how to find the y-intercepts there?

Answer 10

I'm trying to graph it

Answer 11

well... you don't have to really... but ok

Answer 12

I could try to find the y intercept on a graph

Answer 13

Which for f(x) is -3 I think

Answer 14

For the second line it looks like 1.5

Answer 15

If it helps, I noticed that the solution of the two lines is 3,3

Answer 16

yeap
you could have just set x = 0 btw and \(\bf f(x) = -3(1.02)^{\color{brown}{ x}}\implies f(x) = -3(1.02)^{\color{brown}{ 0}}\implies f(x)=-3\cdot 1\to -3\)

Answer 17

what about the y-intercept of g(x)? any ideas? keep in mind that x = 0 when the graph intercepts the y-axis

Answer 18

Here is a picture of the graph I made.

Answer 19

Maybe in some way shape or form it could help

Answer 20

well... let's take a look at your table then \(\large \begin{array}{ccllll}
x&g(x)
\\\hline\\
-1&-5\\
{\color{brown}{ 0}}&-3\\
1&-1\\
2&1
\end{array}\) what do you think the y-intercept would be?

Answer 21

No clue

Answer 22

well. when x = 0 y = ?

Answer 23

-3

Answer 24

I think

Answer 25

or I should say when x = 0 g(x) = y = ? yeap -3

Answer 26

so now we know that f(x) y-intercept is -3
and g(x)'s y-intercept is -3

so you can infer from that I"d think

Answer 27

So it would be A, or they are both equal?

Answer 28

yeap

Answer 29

THANK YOU

Answer 30

yw

Answer 31

You're a hero :DD

Answer 32

actaully... for that I think I may need a tight outfit with a cape...but I don't have one =)