Question

HELP!!!!!!!!

f(x)= -2x^2+14/x^2-49

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.

Answer 1

This shows that as x approaches -7 and 7, the value of y approaches infinity. As x approaches -7 from the left, y approaches ∞.

Vertical asymptotes of a function

The vertical asymptotes of a function is the point where the denominator of the rational function approaches zero.

Given the rational function shown:

$\dfrac{-2x^2+14}{x^2-49}$

The vertical asymptotes occurs when x^2 - 49 = 0

Add 49 to both sides

x^2-49 + 49 = 49

x^2= 49

x = ±7

This shows that as x approaches -7 and 7, the value of y approaches infinity

Learn more on vertical asymptotes here: https://brainly.com/question/4138300

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