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.

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:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- 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.
