Sketch a Polynomial

• Sketch it crossing both (-2,0) and (0,0).

• Sketch it crossing (-2,0) and tangent at (0,0).

• Sketch it tangent at (-2,0) and crossing (0,0).

• Sketch it tangent at both (-2,0) and (0,0).

• rises to the left and falls to the right

• falls to the left and rises to the right

• rises to both directions

• falls to both directions

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

What is the end behavior on the left side

• x →∞, y→∞

• x →-∞, y→-∞

• x →-∞, y→∞

• x →∞, y→∞

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

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

• Even degree

• Odd degree

• Positive leading coefficient

• Negative leading coefficient

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

Match the graph to the function

• f(x) = -2x⁶+9x²

• f(x) = x⁶-7x⁴+12x²-x-2

• f(x) = x⁶-3x³+x+2

• f(x) = -x⁶+5x⁴+3x-2