Answer:
The answer is (d)
Exponential decay function
[tex]\lim_{x \to -\infty} f_x=0[/tex]
[tex]\lim_{x \to \infty} f_x= \infty[/tex]
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
[tex]\lim_{n \to -\infty} f_x=0.8^{-\infty} = \frac{1}{0.8^{\infty}}=0[/tex]
[tex]\lim_{x \to \infty} f_x=0.8^{\infty}=\infty[/tex]
∴ The answer is (d)
