Unit 2

Know there is a complex number i such that i 2 = –1, and every complex number has the form a + bi with a and b real.
Use the relation i 2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
. Solve quadratic equations with real coefficientsthat have complex solutions.
. Solve quadratic equationsin one variable. b. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. i) In the case of equations that have roots with nonzero imaginary parts, students write the solutions as a ± bi for real numbers a
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key featuresinclude: intercepts; intervals where the function isincreasing, decreasing, positive, or negative; relative maximums and minimums;symmetries; end behavior; and periodicity. ★

Families of Functions

Families of Functions QUIZ

The student should be able to:

Determine the family of functions to which a function belongs given its equation or a sketch of its graph.
Choose an equation that is BEST represented by a graph.

Identifying major parts of the graph of a function.