MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Let y=−x5 be a polynomial function.
(i) Calculate the values of y when x=−2,−1,0,1,2 and record them in a table.
(ii) Sketch the graph on the interval −2≤x≤2 using the points from part (i).
(iii) Indicate on the sketch the symmetry possessed by the curve and describe, in one sentence, how the negative sign affects the orientation compared with y=x5.},{
(iv) Determine the x-intercept and y-intercept of the curve.