Question

The graph of function f a shown. Use the zeros and the turning points of the graph to find the rule for f.​

Answer 1

f(x) = x(x +4)(x -3)

Explanation:

Answer 2

f(x) = x(x +4)(x -3)

Explanation:

Zeros at -4, 0, and 3 tell you the factorization is ...

f(x) = a(x +4)(x)(x -3)

Then f(2) = a(6)(2)(-1) = -12a.

The graph shows f(2) = -12, so a=1. That makes the function rule:

f(x) = x(x +4)(x -3)

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If you want it multiplied out, it will be

f(x) = x^3 +x^2 -12x