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end behavior, Study notes of Mathematics

END BEHAVIOR The end behavior of a function's graph is the behavior of the graph as x approaches positive infinity (+∞) or negative infinity (-∞). For the.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

maraiah
maraiah 🇺🇸

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Recall that a monomial is a number, a variable, or a product of numbers and variables. A polynomial is a monomial or a sum of monomials. A polynomial function is a function of the form = n n-li... fa = a,x" +a, _ x + +ax+ a, where a, # 0, the exponents are all whole numbers, and the coefficients are all real numbers. For this function, a, is the leading coefficient, n is the degree, and a, is the constant term. A polynomial function is in standard form if its terms are written in descending order of exponents from left to right. Common Polynomial Functions Degree Type | Standard form | Example 0 | Constant | f(x) = ay fo) =-14 1 "Linear | f(x) = a,x + dg | f(x) = 5x —7 2 | Quadratic | F(x) = a,x? + a,x + dg | f(x) = 2x? +x-9 3 | Cubic | F(x) = a3x3 + a,x? + a,x + dg | fix) = x3 — x? + 3x 4 | Quartic | F(X) = a,x* + ax? + a,x? + a,x + dy | f(x) =x4 + 2x-1