Review

=__**Major Topics & Key Points**__= >>> 1) Domain >>> 2) Range >>> 3) Intervals of Increase/Decrease >>> 4) Location of Discontinuities and Asymptotes >>> 5) Zeros >>> 6) Y-intercept >>> 7) Symmetry >>> 8) End Behaviour >>> y = af [k(x-d)] +c >>> >>>> (i.e. you cannot add (1,3) and (2,4) but you can add (1,3) and (1,4)) >>> >>>
 * 1) ==Functions==
 * ====Key Points====
 * Difference between a relation and a function
 * Methods of representing functions (Equation, mapping diagram, ordered pairs, table of values, graph)
 * ====You should know how to...====
 * Determine domain and range both graphically and algebraically
 * Determine whether a relation is a function
 * 1) ==Linear Inequalities==
 * ====Key Points====
 * Solve an inequality by determining the value of x
 * ====You should know how to...====
 * Graph on a number line
 * Represent in set notation, interval notation, and on a number line
 * Determine if a number is present in the number set
 * 1) ==Absolute Values==
 * ====Key Points====
 * Absolute value makes everything positive
 * When given "|x| < a" the answer always follows the pattern "-a < x < a"
 * When given "|x| > a" the answer always follows the pattern "x < -a, x > a"
 * ====You should know how to...====
 * Solve absolute value inequalities in the form of |x| > a and |x| < a
 * Represent answers on a number line and in set notation
 * 1) ==Properties of Parent Functions==
 * ====Key Points====
 * Graphs can be characterized based on the following properties
 * ====You should know how to...====
 * Describe a graph based on the above properties
 * General understanding of each property (so it can be applied to all functions)
 * 1) ==Transformations of Functions==
 * ====Key Points====
 * Functions can be reflected, stretched, compressed, and shifted
 * Functions are written using the following general formula:
 * ====You should know how to...====
 * Translate a function graphically
 * List the transformations applied from the parent function
 * Determine the transformation of a specific point based on a given function
 * Determine the original point on the parent graph when given a transformed point and function
 * 1) ==Inverse of a Function==
 * ====Key Points====
 * A function can be expressed as an inverse by switching the x and y values (both in a equation and the points on a graph
 * The inverse is written as f^ -1 (x)...
 * ====You should know how to...====
 * Determine the inverse of a function
 * Determine whether the inverse is a function
 * Determine the domain and range of the inverse
 * 1) ==Piecewise Functions==
 * ====Key Points====
 * A function that consists of 2 or more different functions
 * A piecewise function can be continuous or discontinuous
 * When asked to state the domain and range, state of the entire piecewise function
 * A closed circle means it does equal to #
 * An open circle means it does not equal to #
 * ====You should know how to...====
 * Graph a piecewise function
 * Write the equation for a piecewise function
 * State the domain and range
 * State continuities or discontinuities
 * 1) ==Solving Problems Using Absolute Values==
 * ====Key Points====
 * Remember: absolute value makes everything positive
 * To solve a problem with an absolute value you must create two new equations: one where the absolute value is written as a positive and another where it is written as a negative
 * ====You should know how to...====
 * Solve a problem with absolute values
 * 1) ==Operations with functions==
 * ====Key Points====
 * Functions can be added, subtracted, and multiplied
 * When carrying out any of the above functions, the values of x must be equal of the two points being added together
 * ====You should know how to...====
 * Determine the equation of the new function produced
 * If you don't understand something I find these youtube channels and math tutoring site very effective

http://www.youtube.com/user/patrickJMT http://www.youtube.com/user/waszel http://www.purplemath.com/

Good Luck on the test!!! =D