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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 −5
0 −3
1 −1
2 1

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

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 f(x).
D. The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Respuesta :

Answer:

If correct equation f(x) = −3 + (1.02)x , then answer is

A. The y-intercept of f(x) is equal to the y-intercept of g(x).

Step-by-step explanation:

If the equation is f(x) = −3(1.02)x and written correctly, then its slope is -3.06, and y-intercept is 0.

For

x g(x)

−1 −5

0 −3

1 −1

2 1

x=0, y = -3, so y-intercept is - 3.

Because, no one of the answers is correct, most probably , the equation for f(x) is written incorrectly. It could be f(x) = −3 + (1.02)x . Then slope for this equation is = - 3. And correct answer would be A.

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