Examples with solutions for Increasing and Decreasing Intervals of a Function: Determine whether or not it is possible to create the function

Exercise #1

Is it possible to create an increasing function with the two given points?

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Video Solution

Step-by-Step Solution

We will begin by connecting the two points to each other, and subsequently we should see that we have obtained an increasing function.

Answer

Yes

Exercise #2

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to create an increasing and decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #3

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to create an increasing and decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #4

Is it possible to create a constant function with the two given points?

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Video Solution

Answer

Yes

Exercise #5

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to generate a decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #6

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to create an increasing and decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #7

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to generate a decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #8

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to generate a decreasing function with the two given points?

000

Video Solution

Answer

Impossible

Exercise #9

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to create an increasing and decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #10

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to generate a decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #11

Is it possible to create an increasing function with the two given points?

000

Video Solution

Answer

Yes

Exercise #12

Is it possible to create an increasing function with the two given points?

000

Video Solution

Answer

No

Exercise #13

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to create an increasing and decreasing function with the two given points?

000

Video Solution

Answer

Possible

Exercise #14

Copy the points and complete the graph of the function according to the instructions, if it is not possible explain why.

Is it possible to generate a decreasing function with the two given points?

000

Video Solution

Answer

Possible