Question

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)? (5 points)

Group of answer choices

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

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

Explanation:

Given functions f(x) and g(x).

What is the y-intercept?

The y-intercept is the output of the function with the input of zero.

In other words the y -intercept is:

• f(0) for f(x) and g(0) for g(x)

Let's determine the y-intercept of the given functions:

• f(0) = - 3(1.02)⁰ = - 3(1) = - 3

• g(0) = - 3 according to table

We see both functions have same y-intercept with the value of -3.

The matching answer choice is A.