Question

Consider the function f(x)=−3x+3 on the interval [−8,4]. Find the absolute extrema for the function on the given interval. Express your answer as an ordered pair (x,f(x)).
Absolute maximum:
Absolute minimum:

Answer 1

By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = - 3 · x + 3 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

What are the absolute extrema of a linear equation within a closed interval?

According to the functions theory, linear equations have no absolute extrema for all real numbers, but things are different for any closed interval as absolute extrema are the ends of linear function. Now we proceed to evaluate the function at each point:

Absolute maximum

f(- 8) = - 3 · (- 8) + 3

f(- 8) = 27

Absolute minimum

f(4) = - 3 · 4 + 3

f(4) = - 9

By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = - 3 · x + 3 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

To learn more on absolute extrema: brainly.com/question/2272467

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