Sketch Polynomials

What is the polynomial function for the graph?

What are the zeroes of this graph?

• x = -3, x = 5

• x = -3, x = 0, x = 5

• x = -3, x = 2, x = 5

• x = 0

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Determine the end behavior of the graph.
There are arrows.

• As x→ -∞, y→ +∞
  As x→ +∞, y→ +∞

• As x→ -∞, y→ -∞
  As x→ +∞, y→ -∞

• As x→ -∞, y→ -∞
  As x→ +∞, y→ +∞

• As x→ -∞, y→ +∞
  As x→ +∞, y→ -∞

Match the equation to the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• 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

Select the two descriptions that best describe the polynomial FUNction's graph.

• Even degree

• Odd degree

• Positive leading coefficient

• Negative leading coefficient

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

• A.
• B.
• C.
• D.

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

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