what type of function is $f(x)=2\\left(\\frac{1}{4}\\right)^x$ ?\nexponential growth (increasing)\nexponentia…

what type of function is $f(x)=2\\left(\\frac{1}{4}\\right)^x$ ?\nexponential growth (increasing)\nexponential decay (decreasing)\nboth growth and decay

what type of function is $f(x)=2\\left(\\frac{1}{4}\\right)^x$ ?\nexponential growth (increasing)\nexponential decay (decreasing)\nboth growth and decay

Answer

Explanation:

Step1: Recall exponential function form

The general form of an exponential function is $f(x) = a(b)^x$, where $a>0$, $b>0$, $b\neq1$.

Step2: Identify $b$ value

For $f(x) = 2\left(\frac{1}{4}\right)^x$, $b = \frac{1}{4}$.

Step3: Compare $b$ to 1

Since $0 < \frac{1}{4} < 1$, the function represents exponential decay (decreasing).

Answer:

exponential decay (decreasing)