Question

Will medal please help quick will fan all who help Which of the following options results in a graph that shows exponential growth?

f(x) = 0.4(0.2)x
f(x) = 4(0.98)x
f(x) = 0.7(5)x
f(x) = 5(4)−x

Answer 1

An exponential function is generally written as: \(\large\color{black}{ \displaystyle y=a(b)^x \\[0.5em] }\)
There are two types of an exponential function.
1) Exponential growth.
2) Exponential decay.

`Exponential growth`, has a \(\large b\) that is greater than 1.
That is `b>1`

`Exponential decay`, has a \(\large b\) that is greater than 0
(because it can't be negative), and smaller than 1.
That is `0<b<1`

Answer 2

((b stands for a base))

Answer 3

So, which of the functions (in your answer choices) has a b that is greater than 1?