Question

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

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