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Consider function f.

f(x)= x^3 + 2x^2 - 5x - 6

Select the locations of the zeros of function f on the coordinate plane. Then select the end behavior of its graph.

Consider function f fx x3 2x2 5x 6 Select the locations of the zeros of function f on the coordinate plane Then select the end behavior of its graph class=

Respuesta :

mhanifa

Answer:

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

Step-by-step explanation:

Given function

  • f(x)= x^3 + 2x^2 - 5x - 6

Finding zero's

  • 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)

Zero's are

  • x = 2, x = -1, x = -3

See the graph attached

Correct end behavior as per graph:

  • As x approaches negative infinity, f(x) approaches negative infinity
Ver imagen mhanifa
Detaj

Answer:

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

Step-by-step explanation: Plato

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