The Difference Quotient (Illustrated)

For a continuous function f that's continuous over the interval [a,b] within its domain, this applet allows for students to see/conclude that: 1) The difference quotient of a function (evaluated from x = a to x = b) 2) The average rate of change of a function (evaluated from x = a to x = b), & 3) The slope of the secant line (passing through [(a,f(a)) & (b,f(b))] drawn through f's graph are all equivalent values.

 

Tim Brzezinski

 
Resource Type
Activity
Tags
ccss.hsf.if.b.6  difference-and-slope  difference-quotient  exploration  line  secant 
Target Group (Age)
15 – 19+
Language
English
 
 
 
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