Family Parent(s) Key aspects Example
The graphof a linear
functionis a straight
line, which is often
identifiedin termsof
its slopeand its y-in-
tercept.
The slopeof the line
is the coefficient ½,
and the y-interceptis
the constant1.
Linear y=x
Thesefunctionshave
a highestexponentof
- The graph is a
parabola,whichhas
a vertexthat is either
a globalmaximumor
minimum of the
graph.
The vertex is the
point(1,0).The graph
is symmetricacross
the linex= 1.
Quadratic y=x^2
Thesefunctionshave
a highestexponentof
- The endsof the
graphhaveopposite
behavior. Cubic
graphseitherhavea
local maximum and
minimum,like the one
in the graphto the
right,or no local maxi-
mumsor minimums,
likey=x^3
Cubic y=x^3