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What makes a polynomial function a power function?
A polynomial function consists of either zero or the sum of a finite number of non-zero terms, each of which is a product of a number, called the coefficient of the term, and a variable raised to a non-negative integer power. Let n be a non-negative integer. A polynomial function is a function that can be written in the form
Is the Order of the terms in a polynomial function important?
Because of the form of a polynomial function, we can see an infinite variety in the number of terms and the power of the variable. Although the order of the terms in the polynomial function is not important for performing operations, we typically arrange the terms in descending order of power, or in general form.
Which is a power function with negative whole number powers?
The reciprocal and reciprocal squared functions are power functions with negative whole number powers because they can be written as f(x) = x − 1 and f(x) = x − 2. The square and cube root functions are power functions with fractional powers because they can be written as f(x) = x1/2 or f(x) = x1/3.
What is the exponent of a power function?
The coefficient is 1 (positive) and the exponent of the power function is 8 (an even number). As x approaches infinity, the output (value of f(x) ) increases without bound. We write as x → ∞, f(x) → ∞.
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23.10.2021 05:09
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