When we have a function in formula form, it is usually a simple matter to evaluate the function. This gives us two solutions. We can also verify by graphing as in Figure 5. Some functions are defined by mathematical rules or procedures expressed in equation form. If it is possible to express the function output with a formula involving the input quantity, then we can define a function in algebraic form.

Much as we did in the application problems above, we also need to find intercepts of quadratic equations for graphing parabolas. However, there are many quadratics that cannot be factored. We can solve these quadratics by first rewriting them in standard form. Because the quadratic is not easily factorable in this case, we solve for the intercepts by first rewriting the quadratic in standard form. We can check our work by graphing the given function on a graphing utility and observing the roots.

Since LaTeX offers a large amount of features, it's hard to remember all commands. Even though commands follow a logical naming scheme, you will probably need a table for the most common math symbols at some point. You can play around with the commands shown here in the sandbox below and insert your equation into your LaTeX document.

The feature that makes L a T e X the right editing tool for scientific documents is the ability to render complex mathematical expressions. This article explains the basic commands to display equations. Basic equations in L a T e X can be easily "programmed", for example:. Open an example in Overleaf.

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