Give the location of the vertical asymptote(s) if they exist, and state the function's domain in set notation.
A) x = 1; {x | x $\in$ R, x ? 1}
B) x = -3; {x | x $\in$ R, x ? -3}
C) x = 4; {x | x $\in$ R, x ? 4}
D) No vertical asymptote; {x | x $\in$ R}

Question

Give the location of the vertical asymptote(s) if they exist, and state the function's domain in set notation. 
A) x = 1; {x | x $\in$ R, x ? 1} 
B) x = -3; {x | x $\in$ R, x ? -3} 
C) x = 4; {x | x $\in$ R, x ? 4} 
D) No vertical asymptote; {x | x $\in$ R}

Quizplus · Accepted Answer

To find vertical asymptotes, we need to look for values of x that make the denominator of the function equal to 0. In this case, we see that the denominator is x - 4, so the function has a vertical asymptote at x = 4. The domain of the function is all real numbers except for x = 4, which we can write in set notation as {x | x ∈ R, x ≠ 4}. Therefore, the best choice is C.

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