AP precalc--unit 1.2-1.3

average rate of change:

_{y(2)-y(1)/x(2)-x(1)}

the rate of change is positive when…

the graph is increasing

the rate of change is negative when…

the graph is decreasing

the rate of change is increasing when….

the graph is concave up

the rate of change is decreasing when…

the graph is concave down

greatest rate of change

steepest positive slope on a tangent line

least rate of change

steepest negative slope

negative rate of change

variable changing in different ways

positive slope

variables going the same way; either up or down

the first difference if the input values are equal

linear function

the second difference if the input values are equal

quadratic function

the third difference if the input values are equal

cubic function

concave up

the average rate of change numbers are getting bigger from top to bottom

concave down

the aroc numbers are getting smaller from top of table to bottom