How to find the intervals that a function is increasing and decreasing

How to find the intervals that a function is increasing and decreasing

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to read a graph, focusing on identifying intervals where the function is increasing or decreasing. The instructor emphasizes the importance of reading the X-axis from left to right and understanding that increasing and decreasing intervals are determined by X values. The video covers specific intervals where the graph increases (2 to 4 and 7 to infinity) and decreases (negative infinity to 2 and 4 to 7). The tutorial concludes with a reminder to focus on X values when describing these intervals.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary axis used to determine if a function is increasing or decreasing?

X-axis

Z-axis

W-axis

Y-axis

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Between which X values does the graph increase according to the example given?

6 to 8

5 to 7

2 to 4

1 to 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the term used to describe the graph's behavior from X value 7 onwards?

Negative Infinity

Positive Infinity

Constant

Zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

From which X value does the graph start decreasing?

2

4

8

6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of X values where the graph is decreasing before it starts increasing again?

0 to 2

4 to 7

7 to 10

10 to 12