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Remember that these are just a few of the ways that Wolfram|Alpha can solve equations-try some of your own math problems and explore other equation types. The underlying technology used here are the Mathematica functions FindInstance, Solve, RSolve, FindRoot, NSolve and Reduce. Do you need to solve a system of polynomial congruences? Wolfram|Alpha is not stumped!Īre you working with recurrence relations? Wolfram|Alpha can solve recurrence equations in seconds.įor more, check out the Examples pages. In the near future, it will be possible to see step-by-step solutions for systems of linear equations Wolfram|Alpha can also solve systems of linear and nonlinear equations. Of course, some solutions are too large or cannot be represented in terms of radicals Wolfram|Alpha will then return numerical solutions with a “More digits” button.Ĭonveniently, Wolfram|Alpha not only solves polynomial equations but also equations involving trigonometric, hyperbolic, or even special functions, as in the following example.ĭo you want to solve an equation over the reals? Just tell Wolfram|Alpha to restrict the domain. Wolfram|Alpha can also solve cubic and quartic equations in terms of radicals. What if the roots of the equation are complex? No worries Wolfram|Alpha has no trouble solving equations over the complex plane. Wolfram|Alpha can easily solve linear and quadratic equations, and even allows you to view a step-by-step solution of each problem. So next time you are stumped on an equation, consult Wolfram|Alpha for a little help. Wolfram|Alpha can solve equations from middle school level all the way through college level and beyond. (Both of these functions can be extended so that their domains are the complex numbers, and the ranges change as well.Need a tutor for solving equations? Solving equations is just one of hundreds of mathematical tasks that can be done using Wolfram|Alpha. The sine function takes the reals (domain) to the closed interval (range).
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For example, the function takes the reals (domain) to the non-negative reals (range). The values taken by the function are collectively referred to as the range. Informally, if a function is defined on some set, then we call that set the domain. For example, a function that is defined for real values in has domain, and is sometimes said to be "a function over the reals." The set of values to which is sent by the function is called the range.
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The domain of a function,, is most commonly defined as the set of values for which a function is defined.
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Here are some examples illustrating how to ask for the domain and range. To avoid ambiguous queries, make sure to use parentheses where necessary. It also shows plots of the function and illustrates the domain and range on a number line to enhance your mathematical intuition.Įnter your queries using plain English. Wolfram|Alpha is a great tool for finding the domain and range of a function. More than just an online function properties finder