Unit 1 A

Question 1

if the leading coefficient is positive

Answer 1

open up, rise

Question 2

if the leading coefficient is negative

Answer 2

open down, fall

Question 3

if the leading degree is even

Answer 3

both ends will point in the same direction

Question 4

if the leading degree is odd

Answer 4

both ends will point in opposite directions

Question 5

relative/local extrema

Answer 5

where the function changes from increasing to decreasing (or vice versa) can be an endpoint – between two zeros there will be at least one

Question 6

absolute/global extrema

Answer 6

the least or greatest y value of a function – can be an endpoint – all even degree polynomials will have one

Question 7

points of inflection

Answer 7

where the graph changes from cu to cd

Question 8

zeros are aka

Answer 8

x-ints, solutions, roots

Question 9

multiplicity

Answer 9

the degree of the factor

Question 10

odd multiplicity

Answer 10

cross

Question 11

even multiplicity

Answer 11

bounce

Question 12

complex numbers come in

Answer 12

pairs

Question 13

fundamental theorem of algebra

Answer 13

if a polynoymial has a degree of x it will have x complex zeros

Question 14

to solve nonlinear inequalities use

Answer 14

a sign chart

Question 15

even functions are

Answer 15

symmetric with the y axis

Question 16

odd functions are

Answer 16

symmetric about the origin

Question 17

in even functions y(x)

Answer 17

is the same as y(-x)

Question 18

in odd functions y(x)

Answer 18

is the opposite of -y(-x)

Question 19

limits

Answer 19

lim f(x) = +/- inf as x –> +/- negative inf

Question 20

to determine if something is a function use the…

Answer 20

vertical line test

Question 21

domain

Answer 21

x-values, input, independent

Question 22

range

Answer 22

y-values, output, dependent

Question 23

function

Answer 23

a relation that maps a set of inputs onto a set of outputs such that each input has exactly one output

Question 24

graph increasing

Answer 24

rising, positive slope, as inputs increase so do outputs

Question 25

graph decreasing

Answer 25

falling, negative slope, as inputs increase outputs decrease

Question 26

concave up

Answer 26

u, roc increasing

Question 27

concave down

Answer 27

n, roc decreasing

Question 28

slope equation

Answer 28

(y1-y2)/(x1-x2)

Question 29

avg roc

Answer 29

slope between two points

Question 30

inst roc

Answer 30

slope between two points that are REALLY close together

Question 31

the roc of a linear function is…

Answer 31

constant

Question 32

the roc of a quadratic function…

Answer 32

changes at a constant rate