pre-calc exam 2 review

# pre-calc exam 2 review - Pre-Calculus Unit 2(Section 2.1...

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Pre-Calculus Unit 2 (Section 2.1 – 2.8) Review Section 2.1 * imaginary number is defined as 1 - = i and 1 2 - = i * perform operations and write result in standard bi a + form *when dividing multiply the numerator and denominator by the complex conjugate of the denominator (complex conjugate of a+bi = a-bi and complex conjugate of a-bi = a+bi) * b i b = - Section 2.2 * a quadratic function may be written in General Form : c bx ax x f + + = 2 ) ( : a, b, and c are real numbers, and 0 a . Vertex : x-value is a b 2 - and find the y-value by substituting a b x 2 - = in the equation and solving for y.  - - a b f a b 2 , 2 axis of symmetry for the parabola is = x (the x-value of the vertex). * a quadratic function may be written in Standard Form : 0 , ) ( ) ( 2 + - = a k h x a x f If in Standard Form, vertex of the parabola is ) , ( k h If in Standard Form, axis of symmetry is h x = For ALL parabolas, the following is true: * if 0 < a , the parabola opens down and has a maximum point at the vertex 0 a , the parabola opens up and has a minimum point at the vertex * let 0 = x when finding the y -intercept; let 0 = y x -intercept(s) *maximum/minimum occurs at x-value of vertex; max./min. value is y-value of vertex Section 2.3 * Degree = highest exponent of polynomial * L eading C oefficient T est (helps us determine the end behavior of a graph) odd degree and positive l.c. = falls to left & rises to right; odd degree and negative l.c. = rises to left & falls to right; even degree and positive l.c. = rises to left and right; even degree and negative l.c. = falls to left and right * zero, x-intercept, root, solution are terms that are often used interchangeably * if a factor c x - occurs r times in the factorization of a polynomial, then c is called a zero of 0 ) ( = x P with multiplicity r.

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## This note was uploaded on 11/23/2010 for the course MATH 115 taught by Professor Mcbride,v during the Fall '08 term at University of South Dakota.

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pre-calc exam 2 review - Pre-Calculus Unit 2(Section 2.1...

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