Unit 1 Review Polynomial Functions Powerful Degree name sketch
over Functions y x2 y 23 y say oneterm y a g a 0 constant
natural 1,23 y ax I linear
whole 0,123 2 t
Integers z 1,0 1,23
y ax 3
Quadratic
t
y ax cubic
E
y ax 4 Quartic
Endbehaviour y axs 5 Quintic
1
even degree I
I x
x p y yo x or Q2 Q1 odddegree I
3 4
Symmetry
Even sym around y axis exponents all even no horizontal shifts
Odd sym around origin exponent all odd noverticalshifts
line sym around a line
Point symaround a point
Characteristics
odd degree Even degree n degree
max x inter n
maxmins n t
t U max
f t a
Even degree canhave 0 xinter
Odddegree canthave 0 xinter min 1
Graphing
s
cubic t Quartic
a.it y
base
14
Determine Equation find
4 1 411 4
2,2
4 24 41 4
a sub in point to find a
243
pox
a
Ex a
Intervals Increasingdecreasing Symmetry from Equation
24 5 2 even allexponentsevennohors shift
y
Ift 4 3 5 6 3 9x odd all exodd novertical shift
over Functions y x2 y 23 y say oneterm y a g a 0 constant
natural 1,23 y ax I linear
whole 0,123 2 t
Integers z 1,0 1,23
y ax 3
Quadratic
t
y ax cubic
E
y ax 4 Quartic
Endbehaviour y axs 5 Quintic
1
even degree I
I x
x p y yo x or Q2 Q1 odddegree I
3 4
Symmetry
Even sym around y axis exponents all even no horizontal shifts
Odd sym around origin exponent all odd noverticalshifts
line sym around a line
Point symaround a point
Characteristics
odd degree Even degree n degree
max x inter n
maxmins n t
t U max
f t a
Even degree canhave 0 xinter
Odddegree canthave 0 xinter min 1
Graphing
s
cubic t Quartic
a.it y
base
14
Determine Equation find
4 1 411 4
2,2
4 24 41 4
a sub in point to find a
243
pox
a
Ex a
Intervals Increasingdecreasing Symmetry from Equation
24 5 2 even allexponentsevennohors shift
y
Ift 4 3 5 6 3 9x odd all exodd novertical shift
