Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The y-intercept of a function is the value of the function (the value of y) when x = 0. So, it is the value of y at which the function touches the y-axis.

Here we have two functions. The first function is:

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

In order to find its y-intercept, we have to substitute x = 0 into the function and see the output. Doing so, we get:

$f(0)=-4(1.09)^0=-4\cdot 1 = -4$

The second function that we have instead is given by the table:

x -4 -2 0 2

g(x) -10 -7 -4 1

In order to find its y-intercept, we look at the table and we see the value of g(x) when x = 0. This is given by the 3rd point: when x = 0, then

$g(0)=-4$

So the correct answer is

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