There is at most one polynomial of degree less than or equal to n which interpolates f(x) at (n+1) distinct points x0,x1,...Xn b. which interpolates f(x) at (n-1) distinct points x0,x1,...Xn-1 which interpolates f(x) at n distinct points x0,x1,.Xn-2 d. which interpolates f(x) at (n-1) distinct points x0,x1,...Xn-3 а. с.

Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following conditions: i) a,b,c,d,e,g.h are non-zero integers. ii) the three factors must be different ii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.

The function f(x) has a domain of [-9, 9] and is plotted below such that the portion of the graph on the interval (-2, 1) is hidden from view. Given that f(-2) = −3 and f(1) = 5, determine what conclusions can be drawn based on the Intermediate Value Theorem on the interval (-2, 1). -10-9-8-7 -6 -5 -4 -3 -2 Since the function f(x) is | Intermediate Value Theorem y ? ? ? ? ? ? r I r 1 I L I L I I 2 19 3 Graph of f 4 5 6 7 8 9 10 X ✓on its domain, the

4)