Mathematics

Mathematics

Problem

Let y=−x5y=-x^5 be a polynomial function. a. (i) Calculate the values of yy when x=−2,−1,0,1,2x=-2,-1,0,1,2 and record them in a table. b. (ii) Sketch the graph on the interval −2≤x≤2-2\le x\le 2 using the points from part (i). c. (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=x5y=x^5.},{ d. (iv) Determine the xx-intercept and yy-intercept of the curve.

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