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To classify functions, we look at how the output changes based on the input. Different ways to classify functions are: linear functions, quadratic functions, exponential functions and logarithmic functions.
Continuity is a mathematical concept that deals with how a function behaves as we get close to a certain point. There are two types of continuity: point-wise continuity and uniform continuity.
A derivative is like finding out how fast something is changing. You can use derivatives to find out how fast a quantity is changing in math. In math, derivatives are used to study how quantities change over time, like finding the rate at which something is getting bigger, accelerating, growing, changing or speeding up or down.
A function is like a machine that takes in a number (or an "input"), does something to it, and gives you another number (or an "output"). A function is a mathematical concept that maps a set of inputs, called the domain, to a set of outputs, called the range. It defines a unique output for each input in the domain. The relationship between the inputs and outputs is often described using an equation or a set of rules. In mathematical notation, a function is typically denoted by f(x), where x is an input and f(x) is the corresponding output. Functions can be used to model real-world situations and can help to simplify complex problems.
An integral is like finding out the total amount of something. You can use integrals to find out the total amount of a quantity in math. In mathematics, integrals are used to find the total amount of a quantity that changes over time. They can help us understand things like flow, areas under a curve, find out the total amount of a quantity and make predictions about what will happen in the future
A transformation in mathematics refers to a process or rule that takes an input and maps it to an output, changing its position, size, or shape. Transformations can be thought of as operations performed on geometric objects such as points, lines, and shapes, to produce a new image or figure.