Features of Polynomials

What are the roots of the graph at the left?

• X={-3, 3}

• x={-3, 3, 3}

• (0, 27)

What are the Factored Form Equations for the graph on the left? Choose 2

• f(x) = (x + 3)(x - 3)²

• f(x)= (x - 3)(x + 3)²

• f(x)=(x + 3)(x - 3)(x - 3)

• f(x)=(x - 3)(x + 3)(x +3)

What is the transformation applied to the parent function f(x) = x³ to obtain g(x) = (x + 2)³ - 4 ?

• Horizontal shift left 2 units, vertical shift down 4 units

• Horizontal shift right 2 units, vertical shift up 4 units

• Horizontal shift left 4 units, vertical shift down 2 units

• Horizontal shift right 4 units, vertical shift up 2 units

What is the domain of the function g(x) = (x + 2)³ - 4 ?

• All real numbers

• x > 0

• x < 0

• x ≥ 0

What is the range of the function g(x) = (x + 2)³ - 4 ?

• All real numbers

• y > 0

• y < 0

• y ≥ 0

What is the end behavior of g(x) = (x + 2)³ - 4 as x approaches ∞?

• ∞

• -∞

• 0

• 4

What is the end behavior of g(x) = (x + 2)³ - 4 as x approaches -∞?

• -∞

• ∞

• 0

• -4

Predict how many roots the polynomial function will have for f(x) = 2x⁵ + 4x + 5

• 1 root

• 2 roots

• 3 roots

• 5 roots

How many roots will x⁷ - x⁶ - x² +2 have?

• 5
• 3
• 10
• 7

In R - S - T, What does the R stand for?

Reflection Stretch Shrink Translation