Question

which type of asymptote will never intersect the graph of a rational function?
choose the correct answer below.
○ oblique
○ horizontal
○ vertical
○ all of these

Explanation:

Vertical asymptotes occur at values that make the denominator of a rational function zero (while the numerator is non-zero). By definition, the rational function is undefined at these x-values, so its graph can never cross or intersect a vertical asymptote. In contrast, horizontal and oblique (slant) asymptotes can be intersected by the graph of a rational function at some points, just not as x approaches positive or negative infinity.

Answer:

vertical