What is the average rate of change of h(x)=2^{x+1}h(x)=2 x+1 h, (, x, ), equals, 2, start superscript, x, plus, 1, end superscript over the interval [2,4][2,4]open bracket, 2, comma, 4, close bracket?

Answers

Answer 1

Answer:

Average Rate = 12

Explanation:

Given

h(x) = 2^(x + 1)

Interval = [2,4]

Required

Determine the average rate of change

The average rate of change of h(x) is calculated using.

Average Rate = (h(b) - h(a))/(b - a)

Where

[a,b] = [2,4]

Meaning a = 2 and b = 4

So, the formula becomes:

Average Rate = (h(4) - h(2))/(4 - 2)

Average Rate = (h(4) - h(2))/2

Average Rate = ½(h(4) - h(2))

Calculating h(4)

h(4) = 2^(4+1)

h(4) = 2⁵

h(4) = 32

Calculating h(2)

h(2) = 2^(2+1)

h(2) = 2³

h(2) = 8

So, we have:

Average Rate = ½(h(4) - h(2))

Average Rate = ½(32 - 8)

Average Rate = ½ * 24

Average Rate = 12

Hence, the average rate of change is 12


Related Questions

Eric would like to have a callout text box that makes it look as if the character in an image is speaking. Which object should he insert into the Word document?
standard text box
WordArt
callout
shape
picture

Answers

Answer:

C: Callout shape

Explanation:

The object that should he insert into the Word document is the callout function. The correct option is b.

What is Microsoft Word?

A component of Microsoft Office is Microsoft Word. The office is a collection of Microsoft products that can be used on Windows or macOS and contains Word, PowerPoint, Excel, Outlook, and numerous other tools for both private and professional usage. They aren't the same thing; Microsoft Word is merely one of such app.

A callout function is one of the functions that specifies a callout and is implemented by a callout driver.

The following collection of callout functions makes up a callout: a notification processing notifying function. A function called classifying handles classifications.

Therefore, the correct option is b. callout.

To learn more about Microsoft Word, refer to the below link:

https://brainly.com/question/2579888

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If your presentation uses a background, your text should _____.

be placed in bulleted lists
work well with the background
be at least 50-points
be written in paragraph form

Answers

your text should work well with the background.

It's very important for the text to be readable.

Answer:

B (work well with the background )  

Explanation:

I have chosen B, to be the best solution and here is why. Since, your presentation uses a background you would want your text to be fitted well with the background of your choice. That way users can still see the text.

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