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).

Question

Mathematics

Sariah

24 August, 04:34

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).

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Raymond Baird · 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).