MMW L2

Arithmetic Sequence

A sequence of numbers such that successive numbers differ by constant, called the common difference or de

Geometric Sequence

sequence of number such that some quotient called the common ratio or r is obtained by dividing a term by the proceeding term

Relation

a correspondence between two sets called the domain and the range such that to each element of the domain, there is assigned one or more elements of the range.

Domain and range

the 2 sets called

Function

it is a type of relation. It is defined as a correspondence between two sets such that to each element of the domain, there is assign exactly one element of the range.

Verbally

ways to represent a function a sentence that describes how the input variable is related to the output variable.

Numerically

ways to represent a function through a table of values or a list of ordered pairs that matches input values with output values.

. Graphically

ways to represent a function through points on the graph in a coordinate plane in which the horizontal axis represents the input values and the vertical axis represents the output values.

Algebraically

ways to represent a function by an equation in two variables.

vertical line test.

Functions can be represented graphically, where a graph can be easily identified if it is a function or not

Function Notation

A function notation is a way to display the output of a function. Or basically how you are going to name the function. It is “usually” 𝑓(𝑥) where it is read as "𝑓 𝑜𝑓 𝑥 " 𝑜𝑟 "𝑓 𝑎𝑡 𝑥", where it represents the value of the function at the number �

1

Linear functions highest exponent

2

quadratic functions highest exponent

Linear Functions

highest exponent is 1, increases by the same amount (add or subtract)

Exponential functions

multiples the same factor, same precentage

Quadratic equations

parabola, u shape in graphs

^x+1

What exponent does an exponential functions have