CPM Homework Help : PC Problem 9-85

Compute without a calculator Sketch a graph of $y = \frac { 6 } { ( x + 1 ) ^ { 5 } }+2$ . Label any key points and key features.

Answer:

Vertical asymptote at $x = −1$ .
Horizontal asymptote at $y = 2$ .
Vertical shift of $2$ units.

Decreasing rational curve, dashed asymptotes at x = negative 1, & y = 2, left curve below & left of asymptote intersection, right curve above & right of asymptote intersection.