Which interval for the graphed function contains the local maximum? [–1, 0] [1, 2] [2, 3] [3, 4]

Mathematics

2 answers:

Ratling [72]3 years ago

4 0

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.

Gnoma [55]3 years ago

4 0

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

Further explanation:

Given:

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

Explanation:

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

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

Kindly refer to the imaged attached.

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