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183 .1 GRAPHS OF POLYNOMIALS 3.1.1 EXERCISES n Bxeacises 1-10, find the degre, the leading term, the leading coefficient, the constant term and the end behavlor of ng to a 5 8. Qua ettinged nds to be 10. G(t) = 4(1-2)2(1+1) In Exercises 1 1·20, find the real zeros of the given polymotnial and their corresponding multiplicities. Use this information long with a sign chart to provide a rough sketch of the graph of the polynomial. Compare your answer with the result from agraphing utility the gra at 1-1 12. g(x)=x(x +2)3 14. g)(2x+1)P Cx-3) 16, p(x)=(x-1)(x-20x-3)(x-4) 18. h(x)=x2(x-2)2(x+2)2 11, a(x)=x(x +2)2 19. hrs-a-r)(r2 + 1) (x) by starting with the graph of y- transformations. State the domain and In Exercises 21-26, given the pair of functions f and g, sketch the graph of y = and using transformations. Track at least three points of your choice through the range of g. 21. f(x)=r', g(x) =(x+2)3 +1 23. f(x)ar', g(x)#2-3(x-1)4 25. f(x)-r, g(x) (x+1)s + 10 27, Use the Intermedlate Value Theorem to prove that fu)9x+5hs 22. f(x) =xt,gtx)=(x+2)4+1 26, f(x)=e,g(x)=8-2 has a real zero in each of the follonding intervale 1-4,-3),10,1] and [2,3). 28. Rework Example 3.1.3 assuming the box is to be made from an 8.5 inch by II lnch shet of papet.Using scisorm CD TVs isgven