1 MAC1105, College Algebra Study Questions for Common Final ...

75. a. goes with Graph A; b. goes with Graph C; c. goes with Graph B
76. For Graph A: a. 2 b. 2 c. minus d. 3
For Graph B: a. 3 b. 2 c. minus d. 4
For Graph C: a. 4 b. 5 c. plus d. 5
77. Answers will vary: a. y = (x – 4)(x + 5)(x + 6); b. y = (x + 1)(x – 3)(x – 10); c. y = 2x 3 – 5x + 4;
d. y = x 5 – 5x – 4
78. a. True; it a function and 0 is in its domain.
b. True; it is a cubic.
c. True. The range is all real numbers, therefore 0 is in its range.
d. False; it is d and d can be positive, negative, or 0.
e. True, since the leading coefficient is positive.
f. True, since the degree is three.
79. a. j(x) = 3 + + x – 1; k(x) = 3 – + x + 1; m(x) = 3 – 3 + – x
b. j(2) = 101; k(3) = 724; m(-1) = 0
80. a. -6; b. -16; c. -315; d. 5
81. Horizontal asymptote: y = 3; Vertical asymptote: x = 4
82. a. f(g(1)) = f(0) =2; b. g(f(1)) = g(1) = 0; c. f(g(0)) = f(1) =1; d. g(f(0)) = g(2) =3; e. f(f(2)) = f(3) =0
83. a. g(f(2)) = g(0) = 1; b. f(g(-1)) = f(2) = 0; c. g(f(0)) = g(4) = -3; d. g(f(1)) = g(3) = -2
84. a. F(G(1)) = F(0) =1 b. G(F(-2)) = G(-3) = 4
c. F(G(2)) = F(0.25) = 1.5 d. F(F(0)) = F(1) = 3
e. (F ∘ G)(x) = 2 (
) + 1 =
f. (G ∘ F)(x) =
=
=
33