Answer:
The zeros of this cubing function are easily read from the graph: {-20, -5, 15}.
The factors of this polynomial are therefore (x + 20), (x + 5) and (x - 15).
The y-intercept is (0, 1).
The function is thus f(x) = a(x + 20)(x + 5)(x - 15).
According to the y-intercept, if x = 0, y = 1.
Thus, y = 1 = f(0) = a(20)(5)(-15), or 1 = a(100)(-15), or 1 = -1500a.
Then a = -1/1500, and the function is:
f(x) = (-1/1500)(x^3 + .. + .. + ... ). We must multiply out (x + 20)(x + 5)(x - 15) to obtain f(x) in finished form.
Step-by-step explanation:
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