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Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x).. . g(x) = x^3 – x^2 – 4x + 4. g(x) = x^3 + 2x^2 – 9x – 18. g(x) = x3 – 3x^2 – 4x + 12. g(x) = x^3 + 2x^2 – 25x – 50. g(x) = 2x^3 + 14x^2 – 2x – 14

Verified Answer :

g(x) = x3
– x2 – 4x + 4

You can find
the zeroes by factoring the equation. x2  (x - 1) - 4(x - 1) = 0

(x2

  • 4) (x - 1) = 0

(x + 2) (x -
2) (x - 1) = 0

x = 2, -2,
and 1

The
following are the key features of g(x):

g'(x) yields
the slope

g''(x) yields
the concavity

g'(x) = 0 provides
the critical points

g''(x) = 0 provides the point of inflection

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