Answered

The functions f(x) and g(x) are described using the following equation and table: f(x) = -6(1.02)x

x g(x)

-1 -5

0 -3

1 -1

2 1

Which equation best compares the y-intercepts of f(x) and g(x)?

AThe y-intercept of f(x) is equal to the y-intercept of g(x).
BThe y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
CThe y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
DThe y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Verified Answer :

Hagrid

For the function
f(x) = -6(1.02)^x

The y-intercept can be determined when x = 0
f(0) = -6(1.02)^0
f(0) = -6

For the function g(x)
At x = 0, the value of g(0) = -3

Therefore, comparing the y-intercepts of the two functions, the answer is:
B. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).