Please help me with the following 3 questions:
- Write a polynomial of degree 4 that has exactly 3 distinct x-intercepts and whose graph rises to the left and right.
- Make up a rational function f (x) that has vertical asymptotes at x = 2 and x = −1, a horizontal asymptote at y = 1, a y-intercept at (0, 2), and x-intercept at 4.
- z varies jointly as u and the cube of v and inversely as the square of w; z = 9 when u = 4, v = 3, and w = 2. Find w when u = 27, v = 2, and z = 8.
Thank you so kindly for the help,