K fx equation6/13/2023 The function y = -5x 2and g(x) = 2x 3 are functions with whole numbers as their exponents, so they are power functions.The exponents of power functions must also be real numbers, so let’s inspect each exponent from the examples to confirm this. Notice how each function only contains a single term for each example – an important identifier of power functions. Here are some examples of power functions: Power functions definition and examplesĪs shown in the previous section, power functions are functions in the form of f(x) = kx aor y = kx a, where k is a nonzero coefficient, and a is a real number. Make sure to familiarize yourself with this form, as we’ll be using this repeatedly throughout the article. Let’s go ahead and break down this general form and find examples of power functions using this definition. Here’s the general form of power functions: Why don’t we go ahead and start with its definition and some examples of power functions? What is a power function?īefore we dive deeper into the power function’s important properties, we should understand the fundamental definition of power functions. We’ll even learn how to apply power functions in word problems. Make sure to have a notepad handy, as this will be a thorough discussion of power functions. Apply these properties in graphing and identifying power functions.Special properties that a power function may exhibit.This means that there are a lot of parent functions that are also power functions. Why don’t we start with the definition of power functions?Ī power function is a single-term function that contains a variable at its base and a constant for its exponent. This function type is so diverse that if you’re studying functions, we’re 100% sure that you’ve already encountered a type of power function without knowing that it is one. Power Function – Properties, Graphs, & ApplicationsĮver worked with a function that contains a single term? Chances are, you’ve been working with a power function.
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