Math Lesson 16.1.7 - How to Denote a Function?

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Welcome to our Math lesson on How to Denote a Function?, this is the seventh lesson of our suite of math lessons covering the topic of Relation and Function, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

How to Denote a Function?

There are several methods to denote a function. The first is to express the function as an equation with two variables, where the y-variable is the dependent one (as always). For example, we can write y = 2x - 1, y = 3x^x + 2, y = 3/x, etc.

Another method to express functions is to write it as f(x), which we read as "the image of x". This is because in functions, all mathematical objects we choose (x-values) have in correspondence a single image (a y-value), similar to images produced in mirrors. For example, we can write the functions above as f(x) = 2x - 1, f(x) = 3x^x + 2, f(x) = 3/x, etc.

The third method to express functions is as x → f(x). We read this notation as "the values of x are mirrored to those of f(x)". For example, the functions above are written as x → 2x - 1, x → 3x^x + 2, x → 3/x, etc.

You have reached the end of Math lesson 16.1.7 How to Denote a Function?. There are 9 lessons in this physics tutorial covering Relation and Function, you can access all the lessons from this tutorial below.

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