Question

Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using limits.

y=0.8^x

Answer 1

Answer: C on Edg

Step-by-step explanation: I took the quiz

Answer 2

The answer is (d)

Exponential decay function

`\lim_(x \to -\infty) f_x=0`

`\lim_(x \to \infty) f_x= \infty`

Explanation:

∵ y = 0.8^x

∵ 0.8 < 1

∴ 0.8^x is decreasing ⇒ exponential decay function

Ex: 0.8^-4 = 2.441 ⇒ 0.8^4 = 0.4096

when x increase the value of 0.8^x decrease

`\lim_(n \to -\infty) f_x=0.8^(-\infty) = (1)/(0.8^(\infty))=0`

`\lim_(x \to \infty) f_x=0.8^(\infty)=\infty`

∴ The answer is (d)