Question

Chelsea is graphing the function f(x) = 20(1/4)^x. She begins by plotting the initial value. Which graph represents her first step?

Answer 1

Answer:

C

Step-by-step explanation:

Point    (0,20)

Good luck

Answer 2

Answer:

Refer the attached figure.

Step-by-step explanation:

Given : Chelsea is graphing the function $f(x) = 20(\frac{1}{4})^x$.

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 $y=a(b)^x$

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

$f(0) = 20(\frac{1}{4})^0$

$y= 20(1)=20$

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.