AP Calculus

Increasing Polynomial

Positive ROC

Decreasing Polynomial

Negative ROC

Concave up

ROC is increasing

Concave down

ROC is decreasing

Point of inflection

ROC changes from increasing to decreasing or decreasing to increasing

Average ROC

Slope from x=a to x=b/slope of secant line through a curve

Odd Function

Origin Symmetry
f(-x)=-f(x)
Can be rotated 180 degrees and look the same

Even Function

Reflection over the y-axis
f(-x)=f(x)
y-axis symmetry

y-intercept

Let x=0

x-intercept

Let x=0