Question

(50 Points + Brainliest for Correct answer)
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)?
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

Answer:

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

Step-by-step explanation:

The functions f(x) and g(x) are described using the following equation and table

 x    :   -1        0         1           2    

g(x)  :  -4        6         8          10

f(x)   : 2.94     3       3.06     3.12

We need to compare the y-intercept of f(x) and g(x)

As we know the y-intercept of any function when x=0.

First we find the y-intercept of f(x) and g(x), f(0) and g(0)

y-intercept of g(x), g(0) = 6

y-intercept of f(x), f(0) = 3

6 is 2 times of 3.

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

Answer 2

Answer:

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

Step-by-step explanation:

First, take a look at f(x)

f(x) = -3(1.02) x

Here we see that the y - intercept is -3

the table represents g(x)

remember when x = 0 that is where the y-intercept is

in this case x = 0 when y = -3

this means f(x) and g(x) have the same y - intercept which is -3