Analyze Polynomial Graphs

Using your CALCULATOR, What are the zeros of the function f(x) = -2x³ - 4x² + 6x?

• x = 0, -2, -3, 1

• x = -3, 1

• x = 0, 3, -1

• x = 0, -3, 1

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞

• x → ∞, y→ ∞ and x→⁻∞, y→∞

• x → ∞, y→ ∞ and x→⁻∞, y→ 0

• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

Which of the following functions could represent the graph shown?

• f(x) = -2x⁵

• f(x) = -2x⁴ + 7x³ + 3x² -5x + 8

• f(x) = 2x⁵ + 3x⁴ - 3x³ + 5x² - 3x + 4

• None of these functions could represent the graph shown.

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

How many turning points are in the picture?

• 2

• 3

• 4

• 5

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

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

• -1

• 1

• 5

• 6