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:

The answer is (d)

Exponential decay function

$\lim_{x \to -\infty} f_x=0$

$\lim_{x \to \infty} f_x= \infty$  

Step-by-step 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

$\lim_{n \to -\infty} f_x=0.8^{-\infty} = \frac{1}{0.8^{\infty}}=0$

$\lim_{x \to \infty} f_x=0.8^{\infty}=\infty$

∴ The answer is (d)

Answer 2

Answer:

its c on edge

Step-by-step explanation: