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 -4
0 6
1 8
2 10

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

@Hero

Answer 2

The y-intercept of the graph of a function occurs at the point (0, f(0)). In other words, when x = 0, the graph of the function intercepts the y-axis.

Answer 3

Notice that we are already given the y-intercept of g(x). It occurs at the point

(x, g(x)) = (0, g(0))
= (0 , 6)

Answer 4

We now have to find (x, f(x)) = (0, f(0))

Answer 5

@kristinak , do you have any idea how we might find the y-intercept of f(x)?

Answer 6

Plugging in O to the x

Answer 7

And what do you get after plugging in x = 0 into the given equation for function f?

Answer 8

(0,3)

Answer 9

So if
(x, g(x)) = (0 , 6)
(x, f(x)) = (0 , 3)

Answer 10

The answer is C?

Answer 11

Correct

Answer 12

Thank you