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

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

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

Answer

Explanation:

Step1: Find the initial - value of the function

The initial - value of an exponential function (y = a(b)^x) is found when (x = 0). Given (f(x)=20(\frac{1}{4})^x), substitute (x = 0) into the function. According to the rule (a^0=1) for (a\neq0), when (x = 0), (f(0)=20(\frac{1}{4})^0=20\times1 = 20). The point to be plotted is ((0,20)) since (x = 0) and (y=f(0)=20).

Answer:

The graph with the point ((0,20)) plotted.