is equivalent to <span>
That is in the form </span><span>
which is point slope form
In this case,
m = 1/2 is the slope
(x1,y1) = (7,-8) is the point the line goes through</span>
Step 3:
14/7x-6/3=5
2x-2=5
2x=5+2
2x=7
x=7/2
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]."
