Question

Help plzz i will give you brianliest

Which best describes the graph of the function f(x) = 3(1.8)^x

A) The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by 1.8

B)The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.8

C) The graph passes through the point (0, 1.8), and for each increase of 1 in the x-values, the y-values increase by 3

D)The graph passes through the point (0, 1.8), and for each increase of 1 in the x-values, the y-values increase by a factor of 3
CAN you plz explain why C isn't the answer thank you so much

Answer 1

A) The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by 1.8

Explanation:

We are given the function,
`f(x) = 3(1.8)^x`.

First, we will substitute x= 0 in the function.

So, we get,

`f(x) = 3(1.8)^x` implies
`f(0) = 3(1.8)^0` i.e. f(0)= 3

Thus, the graph of the function passes through the point (0,3).

Also, we get the table of the values as,

x
`f(x) = 3(1.8)^x` Difference in f(x) values

1
`f(1) = 3(1.8)^1= 5.4` 9.72-5.4 = 4.32

2
`f(2) = 3(1.8)^2= 9.72` 17.496 -9.72= 7.776

3
`f(3) = 3(1.8)^3= 17.496` 1.4928-17.496=13.997

4
`f(3) = 3(1.8)^4= 31.4928`

As, we have,

The factor of increase in the y-values =
`(7.776)/(4.32)` =
`(13.997)/(7.776)` = 1.8

Thus, we get, the correct option is,

A)The graph passes through the point (0, 3), and for each increase of 1 in the x-values, the y-values increase by 1.8