At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
What is it
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
The question is defective, or at least is trying to lead you down the primrose path. The function is linear, so the rate of change is the same no matter what interval (section) of it you're looking at. The "rate of change" is just the slope of the function in the section. That's (change in f(x) ) / (change in 'x') between the ends of the section. In Section A: Length of the section = (1 - 0) = 1 f(1) = 5 f(0) = 0 change in the value of the function = (5 - 0) = 5 Rate of change = (change in the value of the function) / (size of the section) = 5/1 = 5 In Section B: Length of the section = (3 - 2) = 1 f(3) = 15 f(2) = 10 change in the value of the function = (15 - 10) = 5 Rate of change = (change in the value of the function) / (size of the section) = 5/1 = 5 Part A: The average rate of change of each section is 5. Part B: The average rate of change of Section B is equal to the average rate of change of Section A. Explanation: The average rates of change in every section are equal because the function is linear, its graph is a straight line, and the rate of change is just the slope of the graph.
Hmmm, I can't help with this, I skipped this when in middle school. Sorry I couldn't help
I gave you the answer and the explanation may i plz have a medal XP