username4252
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

!!time sensitive!!

Given the function f(x) = 72 - 6x + 6, determine the average rate of change of
the function over the interval 2 < x < 8.


Sagot :

MrRoyal

Answer:

The average rate of change is 64

Step-by-step explanation:

Given

[tex]f(x) = 7x^2 - 6x + 6[/tex]

Required'

Average rate over 2 < x < 8

The average rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where a < x < b

So, we have:

[tex]Rate = \frac{f(8) - f(2)}{8-2}[/tex]

[tex]Rate = \frac{f(8) - f(2)}{6}[/tex]

Calculate f(8) and f(2)

[tex]f(x) = 7x^2 - 6x + 6[/tex]

[tex]f(8) = 7 * 8^2-6 * 8 +6 = 406[/tex]

[tex]f(2) = 7 * 2^2-6 * 2 +6 = 22[/tex]

So:

[tex]Rate = \frac{f(8) - f(2)}{6}[/tex]

[tex]Rate = \frac{406 - 22}{6}[/tex]

[tex]Rate = \frac{384}{6}[/tex]

[tex]Rate = 64[/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.