The function represents exponential growth

Question

asked 2021-01-05

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

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

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

asked 2021-02-16

The number of teams y remaining in a single elimination tournament can be found using the exponential function \(\displaystyle{y}={128}{\left({\frac{{{1}}}{{{2}}}}\right)}^{{x}}\) , where x is the number of rounds played in the tournament.
a. Determine whether the function represents exponential growth or decay. Explain.
b. What does 128 represent in the function?
c. What percent of the teams are eliminated after each round? Explain how you know.
d. Graph the function. What is a reasonable domain and range for the function? Explain.

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 2021-01-22

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.

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

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

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 2020-12-15

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

\(\displaystyle{y}={\left({\frac{{{4}}}{{{3}}}}\right)}^{{{x}}}\)

\(\displaystyle{y}={\left({\frac{{{4}}}{{{3}}}}\right)}^{{{x}}}\)

asked 2021-02-09

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

\(\displaystyle{y}={\left(\frac{{1}}{{2}}\right)}{e}^{{3}}{x}\)

\(\displaystyle{y}={\left(\frac{{1}}{{2}}\right)}{e}^{{3}}{x}\)

asked 2020-10-23

Tell whether the function represents exponential growth or exponential decay. Identify the percent increase or decrease. Then graph the function.

\(\displaystyle{f{{\left({x}\right)}}}={\left({\frac{{{1}}}{{{3}}}}\right)}^{{{x}}}\)

\(\displaystyle{f{{\left({x}\right)}}}={\left({\frac{{{1}}}{{{3}}}}\right)}^{{{x}}}\)

asked 2020-12-28

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

\(\displaystyle{y}={7}^{{{x}}}\)

\(\displaystyle{y}={7}^{{{x}}}\)