Unit 3 Exam Objectives - Quadratic and Absolute Value Functions
Students should be able to: Linear Functions & Variation
Solve applications involving linear functions.
Find the constant of variation (proportionality) k, and use it to solve applications involving direct, inverse and joint variation models.
Quadratic Functions
Find the real or complex zeros of quadratic functions by the methods of factoring, taking square roots, completing the square, or using the quadratic formula.
Use u-substitution to transform functions into quadratic form to find the zeros.
Use both the standard form f(x) = a(x - h)2 + k and the general form, f(x) = ax2 + bx + c, to analyze and graph quadratic functions.
Find a quadratic function given the vertex and one additional point on the graph.
Solve applications involving quadratic functions.
Polynomial Functions
Use the leading coefficient test to determine the end behavior of the graphs of polynomial functions.
Identify multiplicities of polynomial zeros and determine if the graph touches or crosses at the zeros.
Use synthetic division with polynomials with the divisor in the form (x - r).
Use long division with polynomials.
Identify the potential rational zeros of a polynomial function.
Use the remainder, factor, and rational zeros theorems to find zeros of polynomial functions.
Determine if a given binomial is a factor of a given polynomial.
Find all the real and complex zeros for a polynomial function.
Use one complex zero to find the remaining zeros of a polynomial function.
