Gen Math Reviewer

Equations

denote equality between two expressions.

Functions

It is an equation in two variables x and y, where the variable y may be expressed as f(x) if every value of x corresponds to a single value of y. Also, denote relationships between two variables. A function always involves a relation between a set of inputs and a set of outputs.

Piecewise function

What type of function is defined on sequence of intervals? Also function composed of two or more expressions for the different parts of the domain

Ordered pairs

It is a set of numbers group with each other that may or may not represent a pattern.

relation

is a set of objects, such as numbers, grouped together that may or may not represent a pattern. It is simply a set of ordered pairs that are arranged in an orderly manner.

One-to-many correspondence

In this type of relation, some values of X are associated with more than one value of Y

One-to-one correspondence

Each value of 𝑥 is unique and is associated with a unique value of 𝑦.

Many-to-one correspondence

Two or more values of 𝑥 are associated with the same value of 𝑦.

Many-to-Many correspondence

Some values of both 𝑥 and 𝑦 are associated with more than one value of their counterpart.

Vertical line test

a graph that represents a function

Table of values

It is a tool that helps determine points, which can be used in creating a graph

f(2)

If we evaluate a function f(x) at x=0, The resulting value of f(x) is the denoted by

f(x) - g(x)

Represents the sum of f(x) and g(x)?

Rational equation

What do you call an equation that contains one or more expressions in fractional forms

Rational functions

Involves rational expressions and the relational symbols ≠, <, _<, >, and _>. It is the ratio of two polynomials.

Polynomial function

a function that can be expressed as a sum of terms, where each term is a constant multiplied by a non-negative integer power of a variable

Input

The value that a function takes in is called the ______ or the independent variable while

Radical function

If a function is defined in the form of an equation that contains radical expressions, it is called______

Output

the corresponding value that it produces is the _____ or the dependent variable.

x

𝑦 is written as a function of _.

Arrow

The _____ is read as “is mapped to.”

colon symbol

The _______ (:) is read as “such that.”

f

The function _ is written as a set.

Linear function

has a degree of 1 and its graph is a straight line.

Domain

of a function is the set of all values of the independent variable 𝑥 that have corresponding values of the dependent variable 𝑦.

Range

of a function is the set of all values of 𝑦 that can be obtained from the possible values of 𝑥. It contains all possible values of the function.

Quadratic function

has a degree of 2 and its graph is a parabola.