Question

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.

Answer 1

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 -∞

• $\lim_{x \to +\infty} (3x-28)=$$\lim_{x \to+ \infty} 3x$ = +∞
• $\lim_{x \to- \infty} (14-3x) = \lim_{x \to- \infty} -3x$ =+∞

So the right staement is B