important 2 know!!

Question 1

determine the end behavior:

EVEN degree & POS. L.C. =

Answer 1

up up

lim p(x) = ∞
x -> -∞

lim p(x) = ∞
x -> ∞

Question 2

determine the end behavior:

EVEN degree & NEG. L.C. =

Answer 2

down down

lim p(x) = -∞
x -> -∞

lim p(x) = -∞
x -> ∞

Question 3

determine the end behavior:

ODD degree & POS. L.C. =

Answer 3

down up

lim. p(x) = -∞
x -> -∞

lim p(x) = ∞
x -> ∞

Question 4

determine the end behavior:

ODD degree & NEG. L.C.

Answer 4

up down

lim. p(x) = ∞
x -> -∞

lim. p(x) = -∞
x -> ∞

Question 5

(polynomial functions) if the multiplicity is: ODD, it —

Answer 5

ODD = CROSSES

Question 6

(polynomial functions) if the multiplicity is: EVEN, it —

Answer 6

EVEN = BOUNCES

Question 7

absolute extrema is aka

and it is?

Answer 7

it’s aka GLOBAL

of all the local maxima, the greatest is ABSOLUTE MAX, and of all local maxima, the least is called ABSOLUTE MIN

Question 8

relative extrema is aka

and it is?

Answer 8

it’s aka LOCAL

a polynomial has a relative minimum or relative maximum where it SWITCHES between decreasing & increasing (or @ an endpoint, if the polynomial has restricted domain)

Question 9

x^5

x to the fifth power

Answer 9

quintic

Question 10

x^4

x to the fourth power

Answer 10

quartic

Question 11

domain =

Answer 11

x-values

independent variable

set of INPUTS

Question 12

range =

Answer 12

y-values

dependent variable

set of OUTPUTS

Question 13

H.A. scenario:

NUM has HIGHER degree than the DEN.

Answer 13

no H.A.

Question 14

H.A. scenario:

DEN has HIGHER degree than NUM

Answer 14

H.A. = y = 0

Question 15

H.A. scenario:

NUM & DEN have SAME degree

Answer 15

y = L.C. / L.C.