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https://magoosh.com › hs › ap › ap-calculus-difference-graph-function

AP Calculus: The Difference between a Graph and a Function?

The graph of a function and a function are closely related but NOT the same. Therefore when you are explaining a solution to a problem, make sure that you use “the function” and “the graph of the function” in the right places, depending on which you really mean.

https://math.libretexts.org › Bookshelves › Algebra › Advanced_Algebra › 02:_Graphing_Functions...

2.1: Relations, Graphs, and Functions - Mathematics LibreTexts

If any vertical line intersects the graph more than once, then the graph does not represent a function. If an algebraic equation defines a function, then we can use the notation \(f (x) = y\). The notation \(f (x)\) is read “ f of x ” and should not be confused with multiplication.

2.1: Relations, Graphs, and Functions - Mathematics LibreTexts

https://math.libretexts.org › Bookshelves › Algebra › Intermediate_Algebra_1e_(OpenStax) › 03...

3.6: Relations and Functions - Mathematics LibreTexts

A special type of relation, called a function, occurs extensively in mathematics. A function is a relation that assigns to each element in its domain exactly one element in the range. For each ordered pair in the relation, each x-value is matched with only one y-value.

3.6: Relations and Functions - Mathematics LibreTexts

https://math.libretexts.org › Courses › University_of_California_Davis › UCD_Mat_21A...

1.1: Functions and Their Graphs - Mathematics LibreTexts

Describe the graphs of power and root functions. Explain the difference between algebraic and transcendental functions. Graph a piecewise-defined function. Sketch the graph of a function that has been shifted, stretched, or reflected from its initial graph position.

1.1: Functions and Their Graphs - Mathematics LibreTexts

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Difference of functions | Functions and their graphs | Algebra II ...

We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic...

https://www.intmath.com › functions-and-graphs

Functions and Graphs - Interactive Mathematics

This chapter is about functions (this is how we express relationships between quantities) and their graphs. The graph of a function is really useful if we are trying to model a real-world problem. ("Modeling" is the process of finding the relationships between quantities.)

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Difference between equations and functions | Functions and their graphs ...

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:func...

https://www.chilimath.com › lessons › intermediate-algebra › relations-and-functions

Relations and Functions - Definition, Explanation & Examples - ChiliMath

Grasp the fundamental principles of relations and functions and acquire the ability to represent them using various formats like set notations, tables, graphs, and mapping diagrams.

Relations and Functions - Definition, Explanation & Examples - ChiliMath

https://en.wikipedia.org › wiki › Graph_of_a_function

Graph of a function - Wikipedia

Definition. Given a function from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] which is a subset of the Cartesian product .

Graph of a function - Wikipedia

https://www.storyofmathematics.com › function-and-not-a-function

Function and Not a Function – Understanding the Difference

Learning to differentiate between a function and not a function is an essential skill in mathematics. When teaching this concept, I emphasize that a simple way to identify a function is by using the vertical line test on its graph.

Function and Not a Function – Understanding the Difference