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Compare the absolute value function g(x) modeled by the table and the function modeled by the equation, ​f(x)=−(x−3)2+9 . x g(x) −3 −4 −2 0 −1 4 0 8 1 12 2 8 What is the difference in the maximum values of ​ g(x) ​ and ​ f(x) ​? Select from the drop-down menu to correctly complete the statement.

Respuesta :

MrRoyal

The difference in the maximum values of the functions ​g(x) ​and ​f(x)​ is 3

How to determine the difference in the maximum values?

The functions are given as

f(x) = -(x - 3)² + 9

Table of g(x)

x    −3 −4 −2 0 −1  4

g(x) 0   8   1  12  2  8

The maximum value of f(x) is when the root expression is 0

i.e. -(x - 3)² = 0

So, we have

Max f(x) = 0 + 9

Max f(x) = 9

For the table of values, we have

Max g(x) = 12

The difference between these values is

Difference = 12 - 9

Evaluate

Difference = 3

Hence, the difference is 3

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https://brainly.com/question/28277110

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