Polynomial and Rational Inequalities

x³ + 2x² - 4x - 8 > 0

• (-2, 2) U (2, ∞)

• No Solution

• [2, ∞)

• (2, ∞)

• (-10, -2)

• [-10, -2]

• (-oo, -10] u (-2, 2)

• (-oo, -10) U (-2, 2]

• (-oo, -4) u (3, oo)

• (-4, 3)

• [-4, 3]

• (-oo, -4] u [3, oo)

Assuming the scale is 1, where is f(x) < 0?

Solve:

• (0,4]

• (−∞,0) U [4,∞)

• (−∞,0)

• [4,∞)

Solve the following rational inequality:

• (-∞,-1)U(0,∞)

• (-∞,-3)U(-2,0)

• (-1,0)

• -3 < x < -2

Assuming the scale is 1, determine where f(x) ≤ 0.

Solve:

• x = -1, 5

• No Solution

• x = -4, 5

• x= -4

Which of the following rational functions has the three attributes: vertical asymptote at x = -3, horizontal asymptote at y = 0, and a zero at -1?

A hole in the graph of a rational function is what type of discontinuity?

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• A hole is not a discontinuity