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)?

OPTION D.

Step-by-step explanation:

The missing statements are: A. The y-intercept of f(x) is equal to the y-intercept of g(x).B. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).C. The y-intercept of g(x) is equal to 2 times the y intercept of g(x)D. The y intercept of g(x) is equal to 2 plus the y intercept of f(x).

It is important to remember that, by definition, the graph of a function intersects the y-axis when the value of "x" is zero ().

So, given the table of the function g(x), you can observe that when , the output value is:

Therefore, you can determine that the graph of the function g(x) intersects the y-axis at  

Now, given the following function f(x):

 

You need to substitute into the function f(x) and then evaluate, in order to find the y-intercept.

Then, you get that this is:

Therefore, based on this you can conclude that  the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

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