# Graph each function and tell whether it represents exponential growth, exponential decay, or neither. y=80(0.25)^{x}

Question
Exponential growth and decay
Graph each function and tell whether it represents exponential growth, exponential decay, or neither.
$$\displaystyle{y}={80}{\left({0.25}\right)}^{{{x}}}$$

2021-01-06
Step 1
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.

### Relevant Questions

Determine whether each function represents exponential growth or exponential decay. Identify the percent rate of change.
$$\displaystyle{g{{\left({t}\right)}}}={2}{\left({\frac{{{5}}}{{{4}}}}\right)}^{{t}}$$

Tell whether the function represents exponential growth or exponential decay. Then graph the function. $$f(x)=(1.5)^{x}$$

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

Determine whether each equation represents exponential growth or exponential decay. Find the rate of increase or decrease for each model. Graph each equation. $$y=5^x$$

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

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. Then graph the function. $$y=5^x$$

For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Explain. $$y=11,701(0.97)^t$$
Tell whether the function represents exponential growth or exponential decay. Then graph the function. $$\displaystyle{y}={3}{e}^{{-{0.75}{x}}}$$