Question

HELPP!

The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x

Answer 1

A) The y-intercept of f(x) is equal to the y-intercept of g(x).

Answer 2

Given:

The function is:

`f(x)=-4(1.09)^x`

The table of values for the function g(x).

To find:

The equation that best compares the y-intercepts of f(x) and g(x).

Solution:

We have,

`f(x)=-4(1.09)^x`

Putting
`x=0`, we get

`f(x)=-4(1.09)^0`

`f(x)=-4(1)`

`f(x)=-4`

So, the y-intercept of the function f(x) is -4.

From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.

The y-intercept of f(x) is equal to the y-intercept of g(x).

Therefore, the correct option is A.