Question

What is the y-intercept of the function f(x) = 2 · 3*?

А. (2, 0)
в. (0, 6)
с. (0, 3)
D. (0, 2)

Answer 1

Option D. (0, 2)

Explanation:

we have

`f(x)=2(3)^(x)`

This is a exponential function of the form

`y=a(b)^(x)`

where

a is the initial value

b is the base

r is the rate of change

In this problem

a=2 ---> the initial value ( value of the function when the value of x is equal to zero)

b=3

b=1+r ----> 3=1+r ----> r=2 ---> r=200%

Remember that

The initial value of the function is equal to the y-intercept

The initial value is the point (0,2)

therefore

The y-intercept is the point (0,2)