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

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)

Answer 2

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

How to determine the y-intercepts?

The function f is given as:

f(x) = -6(1.02)^x

Set x to 0

f(0) = -6(1.02)^0

Evaluate

f(0) = -6

From the table of function g(x), we have:

g(0) = -3

This means that:

f(0) = 2 * g(0)

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

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