Graph of the function:

Step 2

The function represents exponential decay because as value of x intereases, the value of y decreases. Each term has a common ratio of 0.25.

Question

asked 2021-05-29

Determine whether each function represents exponential growth or exponential decay. Identify the percent rate of change.

\(\displaystyle{g{{\left({t}\right)}}}={2}{\left({\frac{{{5}}}{{{4}}}}\right)}^{{t}}\)

\(\displaystyle{g{{\left({t}\right)}}}={2}{\left({\frac{{{5}}}{{{4}}}}\right)}^{{t}}\)

asked 2020-12-12

asked 2021-02-05

Tell whether the function represents exponential growth or decay. \(h(x)=2.5(0.8)^x\)

asked 2021-03-06

asked 2021-02-04

State whether the equation represents exponential growth, exponential decay, or neither. \(y=0.9^x\)

asked 2021-05-01

asked 2021-01-31

asked 2021-05-08

Write an exponential growth or decay function to model each situation. Then find the value of the function after the given amount of time. A new car is worth $25,000, and its value decreases by 15% each year; 6 years.

asked 2021-01-27

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

asked 2021-02-21

Tell whether the function represents exponential growth or exponential decay. Then graph the function.
\(\displaystyle{y}={3}{e}^{{-{0.75}{x}}}\)