alegrba 1

<

less than , open point , and to the left

>

greater than , open point , to the right

>

greater than or equal to , closed point , to the right

<

less than or equal to , closed point , to the left

rational

a number that can be written as an friction

integers

includes negative numbers

inverse

an opposite operation

formula

rule written using symbols

Multiplicative Property of Zero

any number x 0=0

inverse property

numbers cancel each other

identity property

number stays the same

Associative Property

Grouping can change

Commutative Property

Order can change

Coefficient

Numbers multiplying a variable

irrational

cannot be written as a fraction

variable

a letter that replaces an number

expression

Numbers and symbols without an equal signs

equation

a statment with an equal sign

constant

a number without an variable

natural number

you start at 1 (does not include 0)

whole number

you start at 0

relation

a relationship between the input and output

function

for each input (x) there is exactly ONE output (y)

Domain

x - values , input , plug in ,independent

Range

y - values , output , result , dependent

Discrete

i can count it

Continuous

never stops , connect , infinite

interval

is a set of all real numbers that lie between two specific endpoints

Function Notation

Function notation is a way to write equations using \(f(x)\) instead of \(y\) to show the relationship between an input and an output

X - Intercept

Where the line crosses the x-axis

Y - Intercept

Where the line crosses the y - axis

Slope

The steepness of a line

Types of slopes

postive , Negative , zero , undefined

Slope - intercept form

y=mx+b

point - slope form

using a point and slope

parallel lines

lines that never cross and have the same slope

perpendicular lines

Lines that cross at a 90 degree angle

Standard form

Ax+By=C, where A , B , and C are constants

Univariate Data

one variable

Categorical Data

it data thats in an category

line plot

numbers represented by points on the line

circle graph

data repersented by the circle

bar graph

data in bars

numerical data

data shown by numbers

histogram

The bar thing that adds up the number, but it doesn’t have space

interval

frequency

how often something occurs

Box plot

4 spaces that are called the Q1 and Q2 , and Q3 also the median that is 25%

Center

Spread

max -min = range

Minimum

the smallest number

Maxium

the largest number

Median

whats in the middle

1st Quartile

The first block u see that’s worth 25%

3rd Quartile

The last block you see is worth 25%