# What does average rate of change mean in calculus?

[ad_1]

The average rate of change of a continuous function, ##f(x)## , on the closed interval ## [a, b]## is given by

Don't use plagiarized sources. Get Your Custom Essay on
What does average rate of change mean in calculus?
Just from \$13/Page

##(f(b)-f(a))/(b-a)##

Basically, the average rate of change tells us how, on average, the y-value of a function is changing per unit change in the x-value.

The average rate of change formula is just a variation of the slope formula

##(y_2-y_1)/(x_2-x_1)##

since ## y = f(x)##.

Let’s let ##f(x)=-x^2+8x-9##.

The average rate of change on the closed interval ##[2,5]## is given by

##(f(5)-f(2))/(5-2)=(6-3)/(5-2)=3/3=1##

This is also the slope of the secant line to the graph of ##f## through the points ##(2,3)## and ##(5,6)##

See image below.

[ad_2]

Source link

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
• 24/7 support
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
• Expert Proofreading
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

### Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

### Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Order your essay today and save 15% with the discount code BANANA