Question

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)? 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 the y-intercept of f(x).

Answer 1

F(x) = -6(1.02)^x has a y-intercept at f(x) = -6(1.02)^0
f(x) = -6(1)
f(x) = -6
f(x) has a y-intercept at (0, -6)

g(x) has a y-intercept at (0, -3)

Therefore, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

Answer 2

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)?

Answer:

the y-intercept of f(x) is equal to 2 times the y-intercept of g(x)