State whether the equation represents exponential growth, exponential decay, or neither. f(x)=5⋅0.3^x

Question
Exponential growth and decay
asked 2021-02-14
State whether the equation represents exponential growth, exponential decay, or neither. f(x)=5⋅0.3^x

Answers (1)

2021-02-15
The exponential function: \(\displaystyle{y}={a}\cdot{b}^{{x}}\) is an exponential growth if b>1 or is an exponential decay if 0 Here, b=0.3 so it is an exponential decay.
0

Relevant Questions

asked 2021-02-21
State whether the equation represents exponential growth, exponential decay, or neither.
\(\displaystyle{f{{\left({x}\right)}}}={18}{x}^{{2}}\)
asked 2021-02-04
State whether the equation represents exponential growth, exponential decay, or neither. y=0.9^x
asked 2021-01-27
Graph each function and tell whether it represents exponential growth, exponential decay, or neither. y=3(1.5)^x
asked 2021-01-31
For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Explain. y=11,701(0.97)^t
asked 2020-11-27
Without graphing, determine whether the function y = 0.3(1.25)x represents exponential growth or decay. State how you made the determination.
asked 2021-01-22
Tell whether the function represents exponential growth or exponential decay. f(x)=5/3(4/5)^x
asked 2021-02-19
Tell whether the function represents exponential growth or exponential decay. Explain.
\(\displaystyle{y}={3}{\left({0.85}\right)}^{{x}}\)
asked 2021-03-11
Tell whether the function represents exponential growth or exponential decay. Identify the growth or decay factor. \(\displaystyle{y}={0.15}{\left(\frac{{3}}{{2}}\right)}^{{x}}\)
asked 2021-01-13
Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. f(t)=0.8(1/4)^t
asked 2021-02-14
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. f(t)=4(1.05)^t
...