Answer Happy

1 Create a sketch of.... (If completing electronically, you can copy/paste the grid into a DRAWING - found under "insert" and free hand it on!) a. an even degree polynomial with a negative leading coefficient and no real roots in the grid provided: 48 4 - 2 1 3 1.3 12 4 b. an odd degree polynomial with the end behaviour: as x → ∞o, f(x) → ∞o in the grid provided. -10 4 4 4 Ly La 4 2 8 1-₂ Lab jay 4 6 8 10 Create/Write an equation for... a. A cubic polynomial with a positive leading coefficient and exactly three distinct real roots. b. A quartic (degree 4) with a negative leading coefficient and exactly three real roots. Consider the sketches below, and determine the parity of the degree (odd or even) and the sign of the leading coefficient (positive or negative) by circling the correct one. Sketch: Degree Leading Coefficient: Degree: Leading sign: End behaviour: as x → 00, as x → 00, Sketch f(x)=1*(x-4)(x + 6)³ on the grid provided by identifying key features first: (If completing electronically, you can copy/paste the grid into a DRAWING - found under "insert" and free hand it on!) Zeros: - Odd or Even Y-intercept: Positive or Negative Odd or Even Positive or Negative -10 -8 -6 -4 -2 10 9 8 7 6 9 5 4 3 2 1 -1 -2 -3 -4 -4 -5 . -6 -7 -9 Odd or Even Positive or Negative 2 4 6 8 10 2