SOLUTION: from the book. for the function y=xsquard, compute the average rate of change between x=0 and x=3 can you explain how to do this simply? because i can not undersatnd it from the bo

Algebra ->  Linear-equations -> SOLUTION: from the book. for the function y=xsquard, compute the average rate of change between x=0 and x=3 can you explain how to do this simply? because i can not undersatnd it from the bo      Log On


   

Question 124673This question is from textbook college algerbra in context
: from the book. for the function y=xsquard, compute the average rate of change between x=0 and x=3 can you explain how to do this simply? because i can not undersatnd it from the book. thanks to anyone This question is from textbook college algerbra in context

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
To find the average rate of change for a function between two given points, you compute the slope of the secant line, that is the line that passes through the two points.

For your function, f%28x%29=y=x%5E2, the value of the function at x=0 is f%280%29=0%5E2=0. So your first point is (0,0)

The value of the function at x=3 is f%283%29=3%5E2=9, so your second point is (3,9)

The slope of the line is given by DELTA%2Ay%2F%28DELTA%2Ax%29=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

%289-0%29%2F%283-0%29=3

Therefore your average rate of change is 3.

The green line is the secant line and the red curve is the original function.
graph%28200%2C400%2C-2%2C5%2C-2%2C10%2Cx%5E2%2C3x%29