Answered

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Rebecca drew a graph with these key features:

The function is decreasing.
The left end is approaching a constant.
Which function could be represented by Rebecca’s graph?


Answer that was correct for me was: f(x) =-2(5/4)^x+3

Sagot :

MrRoyal

The function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

How to determine the function that could be represented by Rebecca’s graph?

The properties are given as:

  • The function is decreasing.
  • The left end is approaching a constant.

For an exponential function to keep decreasing, one or more the following must be true:

  • The rate is less than 1
  • The leading factor is negative and the rate is greater than 1

For the left end of an exponential function to approach a constant, the following must be true:

  • The leading factor is negative and the rate is greater than 1

The equation that has the above properties is f(x) =-2(5/4)^x+3

Hence, the function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

Read more about exponential functions at:

https://brainly.com/question/2456547

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