Graph the polynomial P(x) =-(x + 2)^ 3 + 27, showing clearly all x- and y-intercepts.

Sketch the graph of this polynomial identifying all intercepts and end behavior.  y=(x+1)(x-4)(x-2)^2

For each polynomial below, determine if it has an even or odd degree and determine if it is an even or odd function. (a) y = 5(x - 1)15 + 2 (i) even degree or odd degree? ---Select--- ✓ (ii) even function, odd function, or neither? (b) y = -15 + x¹2 ---Select--- ✓ (i) even degree or odd degree? ---Select--- ✓ (ii) even function or odd function, or neither? ---Select--- ✓

Create a polynomial function to design a roller coaster ride. It must start on the ground (0,0) and end (4,0) since the ride is 4 minutes long. You must at least have 2 real zeros where 1 must be double ( )^2, 1 must be triple ( )^3 and it must have 2 imaginary zeros. It has to go underground at least once and the height must be within this range; -50 ≤ y ≤ 300 feet. You need to write the equation in factored form and find all zeros that include real and imaginary.