5.1 Polynomial functions

5.1 Polynomial functions - 5.1: Polynomial Functions A...

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5.1: Polynomial Functions A polynomial function is a function in which all exponents are nonnegative integers , usually written in descending order, coefficients are real numbers, and the domain consists of all real numbers. The graph of a polynomial function is a smooth, continuous curve ; no gaps, corners, or cusps. Determine if the following is a polynomial function. If yes, state the degree. If not, explain why. 1. f(x) = 5 x 2 + 4 x 2. f x x x ( ) = - + 4 3 2 3. f(x) = 3x -2 + 5 . 4. f(x) = 0 5. f(x) = 5 6. f x x x x ( ) = - + - 5 3 8 7 3 2 The power function of a polynomial is defined by a single monomial f(x) = x n . Even power functions are symmetric to the y-axis; odd power functions are symmetric to the origin. In both cases, for increasing value of x, the graph be comes more vertical for x > 1 and flattens out for x < 1 .The real zeros of a polynomial function can be found by factoring it completely, setting each variable factor equal to zero, and solving for x . Each of these

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This note was uploaded on 01/04/2012 for the course MAC 1105 taught by Professor Staff during the Fall '08 term at Miami Dade College, Miami.

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5.1 Polynomial functions - 5.1: Polynomial Functions A...

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