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Khan Academy
If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
Intro to exponential functions | Algebra (video) | Khan Academy
Exponential functions can grow or decay very quickly. Exponential functions are often used to model things in the real world, such as populations, radioactive materials, and compound interest.
Khan Academy
Learn about the domain and range of a function in this Khan Academy video.
Khan Academy
Learn about quadratic functions and equations with videos, practice problems, and interactive exercises on Khan Academy.
Lesson 13: Intro to inverse functions - 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.
Khan Academy
Learn how to solve quadratic equations like (x-1)(x+3)=0 and how to use factorization to solve other forms of equations.
Worked example: graphing piecewise functions - Khan Academy
A piecewise function is a function that is defined in separate "pieces" or intervals. For each region or interval, the function may have a different equation or rule that describes it. We can graph a piecewise function by graphing each individual piece.
Finding inverse functions: quadratic - Khan Academy
We've got the function f of x is equal to x plus 2 squared plus 1, and we've constrained our domain that x has to be greater than or equal to negative 2. That's where we've defined our function. And we want to find its inverse.
Finding inverse functions: linear - Khan Academy
But the general idea, you literally just-- a function is originally expressed, is solved for y in terms of x. You just do some algebra. Solve for x in terms of y, and that's essentially your inverse function as a function of y, but then you can rename it as a function of x.