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Natali [406]
3 years ago
12

Consider function f.

Mathematics
1 answer:
MariettaO [177]3 years ago
4 0

Answer:

  • x = 2, x = -1, x = -3
  • As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

<u>Given function</u>

  • f(x)= x^3 + 2x^2 - 5x - 6

<u>Finding zero's</u>

  • x^3 + 2x^2 - 5x - 6 = 0
  • x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =
  • (x - 2)(x^2 + 4x + 3) =
  • (x - 2)(x^2 + x + 3x + 3) =
  • (x - 2)(x(x + 1) + 3(x + 3)) =
  • (x - 2)(x + 1)(x + 3)

<u>Zero's are</u>

  • x = 2, x = -1, x = -3

<em>See the graph attached</em>

<u>Correct end behavior as per graph:</u>

  • As x approaches negative infinity, f(x) approaches negative infinity

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