Question

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

f(x) = 4(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

1) Use two data points to find the eqation of g(x).
2) Find the y-intercept of g(x)

Answer 2

f(x) = 4(1.02)x

Distrube the 4, what do you get?

Answer 3

After that, compare the two eqations. If you have to, set x in both to 0, and solve for y.

Answer 4

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