Consider the polynomial .

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the polynomial f(x)=x2−2x−3f(x)=x^{2}-2x-3. (i) Calculate f(x)f(x) for x=−1,0,1,2,3x=-1,0,1,2,3 and list the ordered pairs (x,f(x))(x,f(x)). (ii) Using your results, state the coordinates of the xx-intercepts and the yy-intercept of the graph. (iii) Does the graph exhibit symmetry about the yy-axis? Give a brief reason.

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