Unit 1 Math Models Notes

independent variable

this will be the domain on a discrete/continuous graph

dependent variable

this will be the range on a discrete/continuous graph

closed circle

< or > (will have the line underneath)

open circle

< or > (no line underneath)

Substitution

An algebraic model that can be used to find the exact solution of a system of equations

Continuous

Line on graph will be curved or shade like a 'v', or another non linear shape

< less than

Shade to the left

> greater than

Shade to the right

set notation

When you have a set of numbers and you put them in "{ }" examples: D: {#,#,#} R: {#,#,#}

interval notation

an expression that uses inequalities to describe subsets of real numbers examples: (#, infinity) [#, infinity) (infinity, #) (infinity, #]

*calculator reminder*

click ZOOM then 9 to reveal a scatter plot after putting data in the L1, L2 table

Discrete

line on graph will be linear or or there use not curved

function

no numbers in the domain will repeat

closed circle on a graph

put number in a bracket, infinity in parentheses

open circle on a graph

put number in parentheses, infinity in parentheses

Linear

simple line on graph

*substitution reminder*

when (#)#^ happens, make sure you multiply the exponent and the number first, THEN add the number before (as shown in parentheses)

Quadratic

will be curved, a parabola, or uneven

infinity

will have parentheses when put in interval notation