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Each graph has been matched with the logarithmic function it represents as follows:

  • f(x) = 3 - 4In (x-2) = graph 3.
  • f(x) = 3 - Inx = graph 1.
  • f(x) = In(x + 1) = graph 4.
  • f(x) = 2In(x + 3) = graph 2.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

The types of function.

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
  • Inverse function
  • Modulus function
  • Signum function
  • Piece-wise defined function.
  • Logarithm function

What is a logarithm function?

A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:

y = logₐₓ

In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:

  • f(x) = 3 - 4In (x-2) = graph 3.
  • f(x) = 3 - Inx = graph 1.
  • f(x) = In(x + 1) = graph 4.
  • f(x) = 2In(x + 3) = graph 2.

Read more on logarithm function here: https://brainly.com/question/13473114

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