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Describe the end behavior of the function below.

f(x)=(2/3)^x-2

A. As x increases, f(x) approaches infinity.
B. As x decreases, f(x) approaches 2.
C. As x increases, f(x) approaches -2.
D. As x decreases, f(x) approaches negative infinity.

Describe the end behavior of the function below fx23x2 A As x increases fx approaches infinity B As x decreases fx approaches 2 C As x increases fx approaches 2 class=

Respuesta :

when u have an exponential functions with a number between 0 and 1, the curve is decreasing. it would approach 0, but the -2 at the end which shift the whole thing down 2, so it would approach -2 instead

answer: c

The end behavior of function  [tex]f(x)=(\frac{2}{3} )^x-2[/tex] :- as x increases, f(x) approaches -2

The correct answer is an option (C).

What is a function?

  • "A relationship is a relationship between input and output."
  • "In a function, there is exactly one output for each input."

What is end behavior of a function?

"The end behavior of a function f(x) means how the function behaves when the input value x increases or decreases without bound."

For given question,

We have been given a function [tex]f(x)=(\frac{2}{3} )^x-2[/tex]

Consider the graph of a function as shown below.

From the graph of a function, we can observe that the as input value x increases, f(x) approaches -2.

Therefore, the end behavior of function  [tex]f(x)=(\frac{2}{3} )^x-2[/tex] :- As x increases, f(x) approaches -2

The correct answer is an option (C).

Learn more about end behavior of a function here:

https://brainly.com/question/27514660

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