Respuesta :

Answer:

Local maximum = [3, 4]

Step-by-step explanation:

Step 1: Plot the given points [–1, 0] [1, 2] [2, 3] [3, 4] and draw the graph.

Step 2: Observe the graph, it is a straight line. Which has local minimum and local maximum at the closed interval.

Here with I have attached the graph.

The graphed function at local maximum at [3, 4]

Thank you.

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The local maximum value of the function is in the interval of [tex]\boxed{\left[ {3,4} \right]}[/tex] and local maximum value of the function is in the interval of [tex]\boxed{\left[ { - 1,0} \right]}.[/tex]

Further explanation:

Given:

The intervals are [tex]\left[ { - 1,0} \right], \left[ { 1,2} \right], \left[ { 2,3} \right][/tex] and [tex]\left[ { 3,4} \right].[/tex]

Explanation:

The given intervals are [tex]\left[ { - 1,0} \right], \left[ { 1,2} \right], \left[ { 2,3} \right][/tex] and [tex]\left[ { 3,4} \right].[/tex]

Plot the given points on the graph to obtain the local maximum value and the local minimum value in the given intervals.

The maximum value of the graphed function is 4 at 3.

The minimum value of the function is -1 at 0.

The local maximum value of the function is in the interval of [tex]\boxed{\left[ {3,4} \right]}[/tex] and local maximum value of the function is in the interval of [tex]\boxed{\left[ { - 1,0} \right]}.[/tex]

Kindly refer to the imaged attached.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: interval, graphed, function, contains, local maximum, maximum, [-1,0], graphed function.

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