
Functions | Algebra 1 | Math | Khan Academy
About this unit 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. Unit guides are here! …
Obtaining a function from an equation - Khan Academy
Equations and functions are not the same thing, but they can be related in several ways. In this video, we obtain a function from an equation. The function represents the same relationship …
Positive & negative intervals of polynomials - Khan Academy
Knowing the sign of a polynomial function between two zeros can help us fill in some of the gaps. In this article, we'll learn how to determine the intervals over which a polynomial is positive or …
Function symmetry introduction (article) | Khan Academy
Another way to visualize origin symmetry is to imagine a reflection about the x -axis, followed by a reflection across the y -axis. If this leaves the graph of the function unchanged, the graph is …
Even and odd functions: Tables (video) | Khan Academy
Odd functions are symmetrical about the x- and y-axis: f (x)=-f (-x). Let's use these definitions to determine if a function given as a table is even, odd, or neither.
Relative minima & maxima review (article) | Khan Academy
Supposing you already know how to find increasing & decreasing intervals of a function, finding relative extremum points involves one more step: finding the points where the function …
Finding inverse functions (article) | Khan Academy
The definition of a function is that each input creates only one output value. For a function to have an inverse, the relationship must be that there is a 1-to-1 relationship between its input values …
Intro to inverse functions (video) | Khan Academy
Sal explains what inverse functions are. Then he explains how to algebraically find the inverse of a function and looks at the graphical relationship between inverse functions.
Recognizing functions from graph (video) | Khan Academy
Determine whether the points on this graph represent a function. Now, just as a refresher, a function is really just an association between members of a set that we call the domain and …
Symmetry of polynomials (article) | Khan Academy
In general, to determine whether a function f is even, odd, or neither even nor odd, we analyze the expression for f (x) :