Studied by 16 people

0.0(0)

get a hint

hint

1

Even Functions

f(-x) = f(x)

New cards

2

Odd Functions

f(-x) equals -x

New cards

3

Piecewise Function

A function made up of multiple functions on domains so that each input has exactly 1 output

New cards

4

y = f(x) +/- k

shifts y up/down

New cards

5

y = a * f(x)

stretches y by a; if >1, will stretch, if <1, will compress, if <0, inverts over x axis

New cards

6

y = f(x + h)

Shifts y left/right

New cards

7

y = f(b * x)

Dilates the x-values; 3x divides all values by 3, 1/5x multiplies all values by 5

New cards

8

AROC

f(b) - f(a) / b - a

New cards

9

Negative Leading Coefficient

Even function’s ends point down; odd function begins in upper left square rather than lower left square

New cards

10

Point of Inflection

The point of transition between concave up and concave down

New cards

11

Concave Up

The ends of a graph point down, with the middle bowed up

New cards

12

Concave Down

The ends of a graph point up, with the middle bowed down

New cards

13

Secant Line

A line passing through two points of the curve of a function (slope equivalent to AROC)

New cards

14

y = mx + b

slope-intercept form

New cards

15

y = m(x - x1) + y1

point-slope form

New cards

16

Quadratic Functions

Classic curve function; AROCs of AROC are constant

New cards

17

The Greatest Integer Function

Function that chops off decimals and only considers sig figs at the ones place or above

New cards

18

Degree

greatest exponent of a polynomial

New cards

19

Leading Coefficient

the coefficient of the variable with the highest exponent

New cards

20

Multiplicity of One

Graph passes linearly through the x-axis at that point

New cards

21

Even Multiplicity

Graph bounces at the x-axis at that point

New cards

22

Odd Multiplicity

Graph is locally cubic (curves weird) at the x-axis at that point

New cards

23

Successive Differences

taking the AROC of the AROC until you get a constant number; the amount of AROCs will be equal to the degree of the polynomial

New cards

24

Pascal’s Triangle

Pyramid of multiplicities which displays the patterns of coefficients in binomials

New cards

25

Countdown Pattern in Expanded Binomials

As you go from left to right or right to left, the exponents of either x or y (depending on direction) will count down from the original exponent to 0

New cards

26

First Coefficient Rule

The first and last non-one coefficients in an expanded binomial will always be equal to the exponent of the original binomial

New cards

27

AROC

Average Rate of Change

New cards