Question

Which coordinates are input and output pairs for the function k(x)=x(3-x)^2 select all that apply (-1,4) (0,3) (1,2) (3,0) (4,4)

Answer 1

The input and output pairs for the function k(x) = x(3-x)^2 are (-1,4), (0,0),(1,2),(3,0), and (4,4).

Step-by-step explanation:

The input and output pairs for the function k(x) = x(3-x)^2 can be found by substituting the given values of x into the function and calculating the corresponding values of k(x).

By substituting x = -1, we get k(-1) = (-1)(3-(-1))^2 = 4.

By substituting x = 0, we get k(0) = (0)(3-0)^2 = 0.

By substituting x = 1, we get k(1) = (1)(3-1)^2 = 2.

By substituting x = 3, we get k(3) = (3)(3-3)^2 = 0.

By substituting x = 4, we get k(4) = (4)(3-4)^2 = 4.