anonymous
  • anonymous
HELP! WILL MEDAL FAN AND TESTIMONIAL!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
What is it
anonymous
  • anonymous
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)
LittleHeron
  • LittleHeron
B

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anonymous
  • anonymous
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.
anonymous
  • anonymous
Hmmm, I can't help with this, I skipped this when in middle school. Sorry I couldn't help
anonymous
  • anonymous
I gave you the answer and the explanation may i plz have a medal XP
anonymous
  • anonymous
lol thanks
benlindquist
  • benlindquist
me too?

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