BACK TO THE MAIN Math Analysis page
Know the terms ODD and EVEN. both what it means in terms of LOOKING at a graph, and what it means in terms of finding a SECOND point on a graph given that the point (x,y) lies on the graph of an ODD (or EVEN) function.
Know what it means to prove by COUNTEREXAMPLE that a function is neither ODD nor EVEN
Know what -(-4) equals. {it equals 4}
Know that 4/(-11) is well-defined {it's only division by zero that is undefined}
The definition of an INVERSE.
The definition of a FUNCTION
How to find an INVERSE of a function given:
-- an algebraic definition of a function
-- a graph
-- a set of ordered pairs
COMPOSITIONS, TRANSLATIONS, SCALE CHANGES, SIZE CHANGES,
(what happens is h/k/a or /b are NEGATIVE in a translation or a scale change).
Know how to deal with exponents. (this is material from a previous course, be sure that you're solid of the rule for manipulating exponential expressions.....the rules of exponents).
Be SOLID on why we could use either a HORIZONTAL SCALE CHANGE **or** a VERTICAL SCALE CHANGE to map f(x)=x to g(x)=5x. (what would a be in the first case.....what would b be in the second case).
Know what happens to Asymptotes under Scale-Changes and Translations.