Answer:
Refer the attached figure.
Step-by-step explanation:
Given : Chelsea is graphing the function [tex]f(x) = 20(\frac{1}{4})^x[/tex].
She begins by plotting the initial value.
To find : Which graph represents her first step?
Solution : We have given the exponential function.
The form of exponential function is [tex]y=a(b)^x[/tex]
Where,
a is the initial value
b is the base
x is the exponent
On comparing the given function with exponential function we get, a=20 the initial value.
or
The initial value is the value of the function when the value of x is equal to zero.
So, In the given function put x=0
[tex]f(0) = 20(\frac{1}{4})^0[/tex]
[tex]y= 20(1)=20[/tex]
The initial value is the point (0,20)
Now, we plot the graph which is the required result and represents her first step.
Refer the attached figure below.
