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Which statement describes the end behavior of the function f(x) = 3|x − 7| − 7? A. As x approaches negative infinity, f(x) approaches negative infinity. B. As x approaches negative infinity, f(x) approaches positive infinity. C. As x approaches positive infinity, f(x) approaches negative infinity. D. As x approaches positive infinity, f(x) is no longer continuous.

Respuesta :

bekkarmahdi702

Answer:

Our expressions is f(x) = 3|x-7|-7

  • in positive values |x-7| is x-7 ⇒f(x) = 3x-28
  • in negative ones |x-7| is 7-x wich is the opposite⇒f(x) = 14-3x

Let's calculate the limits in +∞ and -∞

  • [tex]\lim_{x \to +\infty} (3x-28)=[/tex][tex]\lim_{x \to+ \infty} 3x[/tex] = +∞
  • [tex]\lim_{x \to- \infty} (14-3x) = \lim_{x \to- \infty} -3x[/tex] =+∞

So the right staement is B

isischristian187

Answer:

b

Step-by-step explanation:

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