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

Each time x changes by +1, by how much does g(x) change?

If this is constant then you have the slope, m, for

g(x) = mx + b,

The y-intercept, b, is defined as the value for x=0, which you have also

from the table.

For f(x), the y-intercept is the value f(x=0)= 6(1.02)(0) = 0.

Answer 2

gx changes plus 2

Answer 3

so 2=mx + b now what