graph archetypes

calc bc

heaviside function

heaviside function

on-off switch

y = H(x-2)

y = x²(H(x))

y = x^1/2

red line

y = x^1/4

blue line

y = x^1/3

y = x^2/3

seagull graph

y = x^1/2

black line

y = x^0.85

purple line

y = x²

green line

y = x^pi

red line

y = 1/x

y = 1/x²

y = 1/(x²+1)

y = x/(x²+1)

snake graph

y = sqrt2(R²-x²)

y = ksqrt2(1-hx²)

half ellipses

y = sqrt2(4+x²)

y = sqrt2(x²/9-1)

y = sqrt2(x²+a²)

up-down hyperbola

y = sqrt2(x²-a²)

left-right hyperbola

y = sqrt2(a²-x²)

ellipsis

y = e^(-absx)

y = e^-x

red line

y = e^(-x²)

blue line

(1, 1/e)

coordinates of intersection

y = e^-x³