Which statement best compares the y-intercepts of f(x) and g(x)? (5 points)

Question

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

f(x) = 3(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)? (5 points)

 

	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 y-intercept of f(x).

Answer 1

The y-intercept of f is 3, while that of g is 6 (when x=0).

So the y-int of g is twice that of f, answer 3.

f(x)=3×(1.02)ˣ so f(0)=3.