To find the average rate of change of given function f(x) on a given interval (a,b):
Find f(b)-f(a), b-a, and then divide your result for f(b)-f(a) by your result for b-a:
f(b) - f(a)
------------
b-a
Here your function is f(x) = x^2 - 2x + 3. Substituting b=5 and a=-2,
f(5) = 5^2 -2(5)+3 =? and f(-2) = (-2)^2 - 2(-2) + 3 = ?
Calculate f(5) - [ f(-2) ]
------------------ using your results, above.
5 - [-2]
Your answer to this, if done correctly, is the "average rate of change of the function f(x) = x^2+2x+3 on the interval [-2,5]."
Answer:
212.5
Step-by-step explanation:
Here's a theorem about triangle areas.
If two similar triangles have sides in the ratio x:y,
then their areas are in the ratio x2:y2
The triangles have sides in the ratio:
LP/LN = 10/25
The two triangles have areas in the ratio 100:625 (4/25)
For every 4 in the small triangle, there are 25 in the larger triangle.
34/4 = 8.5
25 times 8.5 =212.5
Ok so, when working to find if a fraction is equal to another you must know what it is cut down by. So 6 / 2 = 3. Now let's break down 7 by 2. It is 3.5 that is not four. So no 6/7 so not equal to 3/4.
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