## Set Symbols

Set Symbols – A Set is a collection of things, usually numbers. We can list each element or member of a set inside curly brackets like this: {2, 4, 6, 8, … } Three dots means goes on forever (infinite) Common Symbols Used in Set Theory Symbols save time and space when writing. Here are … Continue reading "Set Symbols"

## Inverse Functions

Definition The inverse is shown by putting a little “-1” after the function name, like this: f-1(y), where y = f(x) It says “f inverse of y“ Here we have the function f(x) = 3x+2 The flow is Inverse Functions make 3x + 2 back to x , substitute y = 3x + 2, then So, … Continue reading "Inverse Functions"

## Function Transformations

How move and resize the graphs of functions? How move the graphs of functions? Add a constant to the y-value will move it up or down Add a constant to the x-value will move it left or right Examples Function c > 0 c < 0 f(x) = x2 g(x) = x2 + c        f(x) … Continue reading "Function Transformations"

## Sets Theory

A set is a collection of distinct objects, considered as an object in its own right. For example, the numbers 1, 3, and 5 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {1, 3, 5}. The concept of a set is one … Continue reading "Sets Theory"

## Set-Builder Notation

A Set is a collection of things (often numbers). Example: {2, 3, 5} is a set. Here is a simple example of set-builder notation: General Form: {formula for elements: restrictions} or {formula for elements| restrictions} Show the Type of Number You can show what type of number x is. Number Types Symbols Details N Natural Numbers … Continue reading "Set-Builder Notation"

## Intervals

Definition In mathematics, interval is a set of real numbers with the property that any number that lies between 2 numbers in the set is also included in the set. For example, the set of all numbers x satisfying 3 ≤ x ≤ 5 is an interval which contains 3, 5, and all numbers between them. Interval: all … Continue reading "Intervals"

## Injective, Surjective & Bijective

Definition of Function Injective A function f is injective if and only if whenever f(x) = f(y), x = y. Surjective f is surjective if and only if f(A) = B A function f (from set A to B) is surjective if and only if for every y in B, there is at least one x in A such that f(x) = y Bijective … Continue reading "Injective, Surjective & Bijective"