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

I did but none of them made any sense

Answer 2

@agent0smith @austinL

Answer 3

@ganeshie8 @sel95 @radar

Answer 4

I don't see any of the choices fit

Answer 5

me either thats why its weird

Answer 6

@e.mccormick

Answer 7

@Mertsj

Answer 8

@thomaster @TuringTest

Answer 9

What is the y intercept of the function f(x)?

Answer 10

This is actually pretty easy, in f(x) = -3(1.02)x -3 is the principle or the y intercept when x is 0. When x is 0: f(0) = -3(1.02)^0 = f(0) = -3(1.02^0) = f(0) = -3(1) = f(0) = -3

Now look at g(x), its also -3 when x is 0. Recall that to find the y intercept you set x for 0 and solve (if there's anything to solve). Now based of this, can you conclude what the answer is @bigoldnastyfish

Answer 11

@tHe_FiZiCx99 Where did the 3 come from in f(x) = -3(1.02)x did I miss something?
f(x) = -3(1.02)x -3 ??????

Answer 12

No, -3 is the principle of f(x) = -3(1.02)^x

f(x) = P(1+r)^x

Answer 13

The principle is also the y intercept. Also the start value.

Answer 14

I guess I did not believe x was an exponent of 1.02, i was thinking that 1.02(-3) was the coefficient of x. Still stumbling lol

Answer 15

xD

Answer 16

@Zale101 @triciaal @goformit100

Answer 17

@Miracrown

Answer 18

is this open or closed?
I agree the y-intercept is the same
(0,-3)

Answer 19

confuzzled

Answer 20

anything to the power 0 is 1

Answer 21

y-intercept is the value of y when x = 0