Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

The functions f(x), g(x), and h(x) are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval 2−2≤x≤2 goes from least to greatest.

The Functions Fx Gx And Hx Are Shown Below Select The Option That Represents The Ordering Of The Functions According To Their Average Rates Of Change On The Int class=
The Functions Fx Gx And Hx Are Shown Below Select The Option That Represents The Ordering Of The Functions According To Their Average Rates Of Change On The Int class=

Sagot :

SOLUTION:

The formula for the average rate of change of a function is;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For f(x);

[tex]\begin{gathered} m=\frac{30-(-10)}{2-(-2)} \\ m=10 \end{gathered}[/tex]

For (x):

[tex]\begin{gathered} m=\frac{10-46}{2-(-2)}= \\ m=-9 \end{gathered}[/tex]

For h(x):

[tex]\begin{gathered} m=\frac{h(2)-h(-2)}{2-(-2)} \\ m=\frac{(-2^2-5(2)+25)-(-(-2)^2-5(-2)+25)}{2-(-2)} \\ m=-5 \end{gathered}[/tex]

From this calculation, ranking the average rateof change from least to greatest, swe have;

[tex]g(x),h(x),f(x)[/tex]

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.