19,25 12. True or False If the degree of the numerator of a rationalfunction equals the degree of the denominator, then thedivided by x – x² + 1. (pp. A25-11. If a rational function is proper, thenasymptote.is a horizontalConcepts and Vocabulary5. True or False The domain of every rational function is theset of all real numbers.6. If, as x→- 00 or as x- 00, the values of R(x)approach some fixed number L, then the line y = L is aof the graph of R.rational function has a horizontal asymptote.P(x)is a rational function and9 (x)7. If, as x approaches some number c, the valuesof |R(x)|→0, then the line x = c is a13. Multiple Choice If R(x) =if p and q have no common factors, then Ris(b) proper(d) in lowest termsof the graph of R.(a) improper(c) undefined14. Multiple Choice Which type of asymptote, when it oOdescribes the behavior of a graph when x is close to cnumber?8. For a rational function R, if the degree of the numerator isless than the degree of the denominator, then R is9. True or False The graph of a rational function may intersecta horizontal asymptote.10. True or False The graph of a rational function may intersecta vertical asymptote.(a) vertical (b) horizontal (c) oblique (d) all of theseSkill BuildingIn Problems 15-26, find the domain of each rational function.4x5x216. R(x) =-4x215. R(x)17. H(x)x - 73 + x(x – 2) (x + 4)3x (x - 1)2x – 5x – 126.18. G(x)-x(1 – x)3x2 + 5x – 2(x + 3) (4 – x)19. F(x) =20. Q(x)21. R(x) =22. R(x) =3x + xx2 + 9x - 64x* - 123. H(х) —x - 324. G(x) =3(x - x - 6)5(x - 4)x* + 125. R(x)-2(x – 4)3(x² + 4x + 4)26. F(x)In Problems 27–32, use the graph shown to find(a) The domain and range of each function(d) Vertical asymptotes, if any(b) The intercepts, if any(e) Oblique asymptotes, if any27.(c) Horizontal asymptotes, if any28.29.(0, 2)13(1, 2),(-1, 0)(1, 0)3 x

Name: 19,25 12. True or False If the degree of the numerator of a rationalfu
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Description: 19,25 12. True or False If the degree of the numerator of a rationalfunction equals the degree of the denominator, then thedivided by x – x² + 1. (pp. A25-11. If a rational function is proper, thenasymptote.is a horizontalConcepts and Vocabulary5. Tr