Chelsea is graphing the function f(x) = 20(One-fourth)x. She begins by plotting the initial value. Which graph represents her first step?
On a coordinate plane, the point (0, 0.25) is graphed.
On a coordinate plane, the point (0.25, 0) is graphed.
On a coordinate plane, the point (0, 20) is graphed.
On a coordinate plane, the point (20, 0) is graphed.
Answers
Answer:
Refer the attached figure.
Step-by-step explanation:
Given : Chelsea is graphing the function f(x) = 20(\frac{1}{4})^xf(x)=20(
4
1
)
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)^xy=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})^0f(0)=20(
4
1
)
0
y= 20(1)=20y=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.
Answer:
On a coordinate plane, the point (0.25, 0) is graphed.