Question

Can someone please help me on this question? I been stuck on this question for a while. Will mark brainliest

Answer 1

The asymptote of the function is 3, For very high x-values, y moves toward positive infinity

Answer 2

Answer with explanation:

Asymptote of a function is a line ,that is either parallel to x axis or y axis or any line in coordinate plane ,such that distance between the curve and line becomes Zero ,when either  x or y or both x and y ,tends to infinity.

For the curve ,given ,there is a vertical Asymptote, that is when x→∞, distance between curve f(x) and line , x=3 becomes Zero.

So, x=3 , is a vertical asymptote of this function.⇒Option C

Suppose, $y=\frac{k}{x-3}$ is the given function,where ,k can be a polynomial that is single variable containing x terms only,or a constant term.

$y= \lim_{x \to \infty} f(x)= \lim_{x \to \infty} \frac{k}{x-3}=0$

→So,  For very high x-values, y becomes  moves toward the horizontal asymptote.⇒Option B