Algebra II Honors

Topics for Quest 4.2; 4.3/4.3 Day 1

This is a mainly non-graphing calculator quiz!

¨     Use a calculator to approximate zeros and turning points.  (The only graphing calculator question.)

¨     Determine if an equation is a polynomial function and if so, state its degree.

¨     Create the equation for a polynomial function and put it in standard form based on given characteristics (zeros, .etc.)

¨     Given an equation for a polynomial function, determine the following key information: y-intercept, zeros, crossing or touching the x-axis, end behavior, maximum number of turning points, and sketch a graph.

¨     Given a graph of a polynomial function and a list of possible equations, indicate which equations could match the graph.

¨     Describe (compare and contrast) power functions.  For example, x^3 vs x^11

¨     Given a rational function equation, determine the following:  domain, symmetry, all intercepts and if it crosses or touches the x-intercept(s), all asymptotes and if intersect, any holes.

¨     Given a graph of a rational function, determine all the key characteristics.

Suggested review:  Ch Review p. 349-350 # 23, 27, 29, 31&35&39 (find domain, intercepts, symmetry, vertical asymptote(s), hole(s), and horiz/oblique asymptotes) 63, 65