Question

Which of the following options results in a graph that shows exponential growth?

Answer 1

A function $f(x)=b\cdot a^x$ shows

• exponential growth, if $a>1;$
• exponential decay, if $0$

Consider all options:

A. The function $f(x)=0.4\cdot 3^x$ shows exponential growth, because $3>1.$

B. The function $f(x)=3\cdot 0.5^x$ shows exponential decay, because $0$

C. The function $f(x)=0.8\cdot 0.9^x$ shows exponential decay, because $0$

D. The function $f(x)=0.9\cdot 5^{-x}=0.9\cdot \left(\dfrac{1}{5}\right)^x$ shows exponential decay, because $0$

Answer: correct choice is A

Answer 2

Answer:

F(x)=0.4(3)^x

Step-by-step explanation: