Question

HELPP!

Answer 1

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.