Positive and Negative Intervals Polynomials

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)

What are the decreasing interval(s)?

• (- ∞, 0) & (2, ∞ )

• (-1, 0) & (2,-4)

• (0,2)

• (0, -4) & (0, 2)

Is the leading coefficient positive or negative

• positive

• negative

What is the minimum of this graph?

• 2

• 4

• -3

• -1

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

Which of the following correctly identifies the End Behavior?

• 
• 
• 
• 

How many real zeros does the function have?

• None

• 2

• 3

• 4

What are the increasing intervals?

• (- ∞, -1) & (-1, 0) & (0, 1) & (1, ∞)

• (3, 4) & (3, 8)

• (- ∞, -1) & (1, ∞)

• (-1, 0) & (1, ∞)

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

What are the decreasing intervals?

• (- ∞, -1.5) & (0, 1.5)

• [-1.5, 0) & [1.5, ∞)

• (- ∞, -1.5] & [-1.5, 0)

• (-1.5, 0] & [0, 1.5)