Graphing+Polynomials

= Graphing Polynomials =

METHOD: 1) Find the y-intercept. [x=0; in other words substitute in 0 for x to find the y intercept] 2) Find the x-intercept(s). [Factor and solve for x.] 3) Determine the end behaviour of the function using the degree and the coefficient. [even vs. odd degree and positive vs. negative coefficient.] 4) Estimate the turning points based on the above 3 things you have found. [find point(s) between the x-intercepts and then substitute the point into the equation to find a coordinate of the turning point]

=¼ (2) ² (-3) ²
=9

(x-3) therefore x = 3
end behaviour : Even degree of 4 and a positive coefficient therefore as x → ± infinity y → +infinity

turning points : two double roots so two turning points at (0,-2) and (0,3); the last turning point is in between these two roots, so find the x value in between the roots (½), then substitute it in to find the coordinate of the last turning point. (0.5, 9.76) or (½, 625/64)

²