Untitled Lesson

Functions & Relations

What are Functions and Relations?

"In 8th-grade math, you'll learn about functions and relations. Here are the key points:

●Relation: A set of ordered pairs, often represented as (x, y).

●Function: A special type of relation where each x-value has only one corresponding y-value.

●FunctionNotation: Functions are written as f(x), where x is the input, and f(x) is the output.

●Domain and Range: The set of possible input and output values.

●Function Graphs: Graphic representation on a coordinate plane with x-values on horizontal axis & y-values on vertical axis

●Vertical Line Test: A way to check if a graph represents a function.

●Extra info about Functions: Linear / Nonlinear and Proportional / Non-Proportional

●Function Operations: You can add, subtract, multiply, and divide functions.

●y as a function of x: When we say "y as a function of x," it means that the variable "y" depends on or is determined by the

value of the variable "x." In mathematical terms, it represents a functional relationship between two variables, where "y" is the

dependent variable and "x" is the independent variable.

What does “y as a function of x” mean?

When we say "y as a function of x," it means that the variable "y" depends on or is determined by the value of the variable

"x."

In mathematical terms, it represents a functional relationship between two variables, where"y" is the dependent variable

and "x" is the independent variable.

For example, consider the equation:

y = 2x + 3

In this equation, "y" is a function of "x," and it tells us that "y" is determined by multiplying "x" by 2 and then adding 3.

If you change the value of "x," the value of "y" will change accordingly, following this rule. This is the essence of expressing

"y as a function of x."