Question

LEARNING OBJECTIVE Determine a vertical Horizontal or oblique asymptole of a rational functionWhich of the following rational functions will have a graph with a horizontal asymptote of y=09nh7x) =2x + 4b.)4x) - 2x + 23x - 1c.)3x - 2x2x+X-1d.)2x - 83x+x+1

Answer 1

We need to find a vertical asymptote. This means, when we are approaching a value X, then Y becomes infinite or -infinite

A rational function R(x) = p(x) / q(x) will have a vertical asymptote at x=r when r is substituted in for x it makes the denominator zero but not the numerator

option a) oblique asymptote

option b) we have both horizontal (at y=0) and vertical (at x=-1) asymptotes

Option c)

option d) horizontal asymptote