chelsea is graphing the function $f(x) = 20\\left(\\frac{1}{4}\\right)^x$. she begins by plotting the…

chelsea is graphing the function $f(x) = 20\\left(\\frac{1}{4}\\right)^x$. she begins by plotting the initial value. which graph represents her first step?

chelsea is graphing the function $f(x) = 20\\left(\\frac{1}{4}\\right)^x$. she begins by plotting the initial value. which graph represents her first step?

Answer

Explanation:

Step1: Find initial value (x=0)

For exponential functions $f(x)=a(b)^x$, initial value is at $x=0$. $f(0)=20\left(\frac{1}{4}\right)^0 = 20(1) = 20$

Step2: Identify matching graph

The point is $(0, 20)$, which matches the middle graph.

Answer:

The middle graph with the plotted point $(0, 20)$