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=0.9 so it is an exponential decay.**Question

asked 2021-02-21

State whether the equation represents exponential growth, exponential decay, or neither.

\(\displaystyle{f{{\left({x}\right)}}}={18}{x}^{{2}}\)

\(\displaystyle{f{{\left({x}\right)}}}={18}{x}^{{2}}\)

asked 2021-02-14

State whether the equation represents exponential growth, exponential decay, or neither. f(x)=5⋅0.3^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 2021-01-27

Graph each function and tell whether it represents exponential growth, exponential decay, or neither. y=3(1.5)^x

asked 2021-02-19

Tell whether the function represents exponential growth or exponential decay. Explain.

\(\displaystyle{y}={3}{\left({0.85}\right)}^{{x}}\)

\(\displaystyle{y}={3}{\left({0.85}\right)}^{{x}}\)

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 2020-12-28

Tell whether the function represents exponential growth or exponential decay. Then graph the function.

\(\displaystyle{y}={\left({0.95}\right)}^{{{x}}}\)

\(\displaystyle{y}={\left({0.95}\right)}^{{{x}}}\)

asked 2021-01-13

Determine whether the function represents exponential growth or exponential decay. Then graph the function.

\(\displaystyle{y}={\left({0.8}\right)}^{{{x}}}\)

\(\displaystyle{y}={\left({0.8}\right)}^{{{x}}}\)

asked 2021-01-05

Graph each function and tell whether it represents exponential growth, exponential decay, or neither.

\(\displaystyle{y}={80}{\left({0.25}\right)}^{{{x}}}\)

\(\displaystyle{y}={80}{\left({0.25}\right)}^{{{x}}}\)