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A function g(x) is defined by g(x) = −log4(x – 3) + 2.

Part A: Graph the logarithmic function g(x) and determine the domain, range, and x-intercepts. Show all necessary calculations. (5 points)

Part B: Determine the vertical and horizontal asymptotes of g(x). Show all necessary calculations. (5 points)

Part C: Describe the interval(s) in which the graph of g(x) is positive. Determine the end behavior of g(x). (5 points)

Respuesta :

Part A : The domain of this function is [3, ∞) as (x - 3) ≥ 0.

Part B : The range of this function is (- 17, ∞).

Part C : The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) is defined by g(x) = - log4(x - 3) + 2.

The domain of this function is [3, ∞) as (x - 3) ≥ 0.

The range of this function is (- 17, ∞).

The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

learn more about functions here :

https://brainly.com/question/12431044

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