Find the zeros of f(x) = −x3 − 2x2 + 7x − 4. Then describe the behavior of the graph of f at each zero. A. 4, −1; As x → −∞, f →
−∞. When −1 < x < 4, f < 0. At x = 4, f is tangent to the x-axis, so when x > 1, f → ∞. B. −4, 1; As x → −∞, f → −∞. When −4 < x < 1, f > 0. At x = 1, f is tangent to the x-axis, so when x > 1, f → −∞. C. 4, −1; As x → −∞, f → ∞. When −1 < x < 4, f > 0. At x = 4, f is tangent to the x-axis, so when x > 1, f → ∞. D. −4, 1; As x → −∞, f → ∞. When −4 < x < 1, f < 0. At x = 1, f is tangent to the x-axis, so when x > 1, f → −∞.
