1. Intro To Functions & Graphs

Front 1

Natural Numbers

Back 1

Contains counting numbers

1, 2, 3, 4, ....

(Stamford)

Front 2

Integers

Back 2

Include natural numbers, their opposites, and 0

...., -2, -1, 0, 1, 2, 3, .....

(Connecticut)

Front 3

Rational numbers

Back 3

Include integers; all fractions p/q where p and q are integers with q not equal to 0; all repeating and all terminating decimals.

(United States)

Front 4

Irrational numbers

Back 4

Can be written as nonrepeating, nonterminating decimals; cannot be a rational number; if a square root of a positive integer is not an integer, it is an irrational number.

(Different country)

Front 5

Real numbers

Back 5

Any number that can be expressed in standard (decimal form).

Include all rational and irrational numbers.

(Earth)

Front 6

Relation

Back 6

set of ordered pairs

Front 7

What is the domain of (x, y)?

Back 7

The set of all x-values

Front 8

What is the range of (x, y)?

Back 8

The set of all y-values

Front 9

Mean

Back 9

Average of the numbers

Front 10

Median

Back 10

The value that is located in the middle of the list of numbers. If list is even than the median is the average of the two middle numbers

Front 11

Constant Function

Back 11

Front 12

What does the graph of a constant function look like?

Back 12

straight line

Front 13

Linear Function

Back 13

Front 14

Whole numbers

Back 14

Contain all natural numbers, plus 0

(Fairfield County)

Front 15

Distance Formula

Back 15

Front 16

Midpoint Formula

Back 16

Front 17

Slope Formula

Back 17

Rise over Run (y on top)

Front 18

What is slope of horizontal line?

Back 18

0

Front 19

What is slope of vertical line?

Back 19

Undefined

Front 20

Slope-intercept form

Back 20

Front 21

What is the X Intercept

Back 21

Front 22

What is the Y Intercept

Back 22

Front 23

How do you find the X-intercept?

y=3x+6

Back 23

Make the y = 0

Front 24

Linear Functions

Back 24

Can always draw with a single line from a ruler

Front 25

Non-Linear Functions

Back 25

the functions that don't graph out to a straight line.

Front 26

Point-Slope form

Back 26

Front 27

What are three forms of Linear Functions?

Back 27

Slope-Intercept Form

Point-Slope Form

General Form

Front 28

General Form

Back 28

Front 29

2 Rules for Linear Functions

Back 29

Variables never written with exponents or inside a root of any kind.

Variables never written in the denominator of a fraction.

Front 30

4 Properties of non-linear functions

Back 30

Front 31

What are the two types of rates of change for functions?

Back 31

Linear

Exponential

Front 32

Exponential Rate of Change

Back 32

Increases or decreases more and more quickly

Front 33

Linear Rate of Change

Back 33

Increases or decreases very steadily. Rises the same amount every time.

Front 34

How is an equation involving an exponential rate of change represented?

Back 34

With an exponent

Front 35

How is an equation involving a linear rate of change represented?

Back 35

With an equation that only involves multiplication or addition

Front 36

What does the graph of an equation with an exponential rate of change look like?

Back 36

Has a curve

Front 37

What does the graph of an equation with a linear rate of change look like?

Back 37

Straight Line (linear)

Front 38

Rate of change example

Back 38

The number multiplied by the domain value

Front 39

How to determine rate of change from graph

Back 39

The amount the line goes up for each step it goes over.

Front 40

Formula for difference quotient

Back 40