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

C

Explanation:

Point (0,20)

Good luck

Answer 2

Refer the attached figure.

Explanation:

Given : Chelsea is graphing the function
`f(x) = 20((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((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.