Average Rate of Change - Weebly
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Name: _________________________ Period: ___________ Average Rate of Change Do Now Space: Question That Needs To Be Answered: What is the significance of the slope of a line connecting two points on a function? Let’s take a closer look at the cow that went skydiving using a function. Let ! ! be a function of the cows’ position in the air. ! ! = −600! ! + 15000 What is the change between ! 0 !"# !(1)? ! 1 !"# !(2)? ! 2 !"# !(3)? ! 3 !"# !(4)? ! 4 !"# !(5)?
Transcript of Average Rate of Change - Weebly
Name: _________________________ Period: ___________
Average Rate of Change
Do Now Space: Question That Needs To Be Answered: What is the significance of the slope of a line connecting two points on a function? Let’s take a closer look at the cow that went skydiving using a function. Let ! ! be a function of the cows’ position in the air.
! ! = −600!! + 15000
What is the change between ! 0 !!"#!!(1)? !
! 1 !!"#!!(2)?!!!!
! 2 !!"#!!(3)?!!!!
! 3 !!"#!!(4)?!!!!
! 4 !!"#!!(5)?!!!!!
What!is!the!average!of!those!five!changes!in!position?!!!!!!!!!!If!we!were!to!plot!points!at!! 0 !and!! 5 ,!and!connect!them!with!a!straight!line,!what!would!the!slope!of!that!line!be?!!
!!!!!!!
When!we!look!at!a!line!connecting!two!points!on!a!function,!the!____________________!of!that!line!is!known!as!the!Average'Rate'of'Change.!!Practice:!! For!the!function,!! ! = 2!! − 3,!calculate!the!average'rate'of'change!for!the!given!interval.!!
! 0 !!"!!(4)!!!!!!!!!!!!!!!!!!!
! 4 !!"!!(8)!!!!!!!!!!!!!!!!!!!
! 0 !!"!!(8)!!!
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![2 Average Rate of Change of f over [a, b]: Difference Quotient The average rate of change of the function f over the interval [a, b] is Average rate of.](https://static.fdocuments.net/doc/165x107/56649d6d5503460f94a4cf3b/2-average-rate-of-change-of-f-over-a-b-difference-quotient-the-average.jpg)
