Question

The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.05)x x g(x) −4 −9 −2 −6 0 −3 2 2 Which equation best compares the y-intercepts of f(x) and g(x)?

Answer 1

Answer:

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

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero

step 1

Find the y-intercept of f(x)

we have

$f(x)=-6(1.05)^{x}$

For x=0

$f(0)=-6(1.05)^{0}$

$f(0)=-6(1)$

$f(0)=-6$

The y-intercept is the point (0,-6)

step 2

Find the y-intercept of g(x)

Observing the table

For x=0

$g(0)=-3$

The y-intercept is the point (0,-3)

step 3

Compare the y-intercepts

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