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Functions assign a single output for each of their inputs. In this video, we see examples of various kinds of functions. Created by Sal Khan.
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- Evaluating Discrete Functions
The definition of a function is as follows: A function takes...
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A function is a rule which operates on one number to give another number. However, not every rule describes a valid function. This unit explains how to see whether a given rule describes a valid function, and introduces some of the mathematical terms associated with functions.
Functions. This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - Function transformations (shift, reflect, stretch) - Piecewise functions - Inverse functions - Two-variable functions.
A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions.
So, a function takes elements of a set, and gives back elements of a set. A Function is Special. But a function has special rules: It must work for every possible input value; And it has only one relationship for each input value; This can be said in one definition:
4 cze 2023 · We could say that a function is a rule that assigns a unique object in its range to each object in its domain. Take for example, the function that maps each real number to its square. If we name the function f, then f maps 5 to 25, 6 to 36, −7 to 49, and so on.
Function Transformations. Just like Transformations in Geometry, we can move and resize the graphs of functions. Let us start with a function, in this case it is f (x) = x2, but it could be anything: f (x) = x2. Here are some simple things we can do to move or scale it on the graph: We can move it up or down by adding a constant to the y-value:
