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Analyzing Exponential Decay Graphs
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through (2, one-ninth), (1, one-third), (0, 1), and (negative 1, 3).

Analyze the graph of the exponential decay function.

The initial value is
.



The base, or rate of change, is
.



The domain is

Analyzing Exponential Decay Graphs On A Coordinate Plane An Exponential Function Approaches Y 0 In Quadrant 1 And Increases Into Quadrant 2 It Goes Through 2 On class=

Sagot :

Considering the given exponential function, we have that:

  • The initial value is of 1.
  • The base is of [tex]\frac{1}{3}[/tex].
  • The domain is of all real values.

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

  • a is the initial value, that is, the value of y when x = 0.
  • b is the rate of change.

When x = 0, y = 1, hence the initial value is of 1. When x changes by 1, y changes by 1/3, hence the base is of 1/3. Exponential functions have no restrictions, hence the domain is of all real values.

More can be learned about exponential functions at https://brainly.com/question/25537936

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Answer:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through (2, one-ninth), (1, one-third), (0, 1), and (negative 1, 3).

Analyze the graph of the exponential decay function.

The initial value is

✔ 1

The base, or rate of change, is

✔ 1/3

The domain is

✔ all real numbers

Step-by-step explanation: