MATA30H3 Lecture Notes - Coefficient, Algebraic Equation, Polynomial
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MATA30H3 Full Course Notes
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Document Summary
A polynomial expression has the form: anxn+an-1xn-1+an-2xn-1+ + a3x3+ a2x2+ a1x+ a0. A polynomial function has the form: f(x) = anxn+an-1xn-1+an-2xn-1+ + a3x3+ a2x2+ a1x+ a0. A power function is a polynomial of the form y=axn, where n is a whole number. They are often the base of transformations which build on top. Even-degree power functions have line symmetry in the y-axis. Odd-degree power functions have point symmetry about the origin. Graph end behavior extends from q3 q1. Graph end behavior extends from q2 q4. Odd degree polynomials have atleast 1 x-intercept, and up to a maximum of n x-intercepts, where n is the degree of the function. Domain of all odd-degree polynomial functions is {x e r}, and the range is {y e r}. Graph end behavior extends from q2 q1. Range is {y e r, y <= a}, where a is the minimum value of the function. Graph end behavior extends from q3 q4.
