Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Given the function h(x)=x^2-7x+6h(x)=x
2
−7x+6, determine the average rate of change of the function over the interval 1\le x \le 61≤x≤6.

Sagot :

Answer:

[tex]0[/tex] (no change)

Step-by-step explanation:

Recall that the average rate of change of a function [tex]f(x)[/tex] over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0[/tex]

Hence, the average rate of change of the function [tex]h(x)[/tex] over the interval [tex][1,6][/tex] is [tex]0[/tex], or no change.

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.