Graphs of Polynomial Inequalities

#2

(x - 1)(x - 2)(x - 4) ≤0

• (-∞, 1)U(2, 4)

• (-∞, 1]U[2, 4]

• [1, 2]U[4, ∞)

• (-1, 4)

#5

2x² - x - 3 ≥ 0

• (-∞, ∞)

• (-∞, 3/2]

• (-∞, -1]U[3/2, ∞)

• [-1, 3/2]

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2
• -4, -1, 1, 2
• 4, 1, -2, -1 multiplicity 2
• 4, 1, -1, -2

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

• [-4, -1] U [2, +oo)
• (-4, -1) U (2, +oo)
• (-oo, -4] U [-1, 2]
• (-oo, -4) U (-1, 2)

Match the equation to the graph.

• y=-(x+1)(x-2)(x-4)
• y=(x+1)²(x-3)(x-1)³
• y = 3x³ – 2x + 1
• y=(x+1)³(x-3)(x-1)²

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

The function f(x)=2x^6-3x^4+2x-10 could...

• have 6 real zeros.
• have 6 turns.
• have 4 real zeros and 3 imaginary zeros.
• have ends that point in opposite directions.

Where is the graph increasing?

• (-∞, -2.55) U (2.55, ∞)
• (0, ∞)
• (-2.55, 0) U (2.55, ∞)
• (-6.25, 36)