Question

Rebecca drew a graph with these key features:

Answer 1

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:

brainly.com/question/2456547

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