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Local Minima and Maxima Concepts

Local Minima and Maxima Concepts

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to use a graph to identify absolute and local maximum and minimum values. It begins with an introduction to these concepts, followed by a detailed explanation of how to find local maximums and minimums by visualizing a graph as a mountain range. The tutorial then discusses absolute maximums and minimums, noting that a function with values increasing indefinitely may not have an absolute maximum. The absolute minimum is identified as the smallest y-value on the graph.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when using a graph to find extrema?

To identify the x-intercepts

To calculate the area under the curve

To find the highest and lowest points

To determine the slope of the graph

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can local minimums be visualized according to the analogy used?

As peaks of a mountain range

As valleys in a mountain range

As cliffs

As flat plains

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value of the local minimum at the point (-5, 3)?

3

-5

5

0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is identified as a local maximum?

(6, 4)

(-2, 5)

(1, -4)

(-5, 3)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value of the local minimum at the point (1, -4)?

-1

4

-4

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value of the local maximum at the point (-2, 5)?

2

-2

3

5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is not a local maximum?

(-2, 5)

(4, 5)

(1, -4)

(6, 4)

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