the function $f(x)=2cdot5^{x}$ can be used to represent the curve through the points $(1, 10), (2, 50)$, and…
the function $f(x)=2cdot5^{x}$ can be used to represent the curve through the points $(1, 10), (2, 50)$, and $(3, 250)$. what is the multiplicative rate of change of the function?\n2\n5\n10\n32
Answer
Explanation:
Step1: Recall exponential - function form
The general form of an exponential function is $y = a\cdot b^x$, where $a$ is the initial value and $b$ is the multiplicative rate of change.
Step2: Identify the multiplicative rate of change
The given function is $f(x)=2\cdot5^x$. Comparing it with the general form $y = a\cdot b^x$, we can see that $a = 2$ and $b = 5$. The multiplicative rate of change of an exponential function $y=a\cdot b^x$ is $b$.
Answer:
5