### Home > CALC > Chapter 1 > Lesson 1.2.1 > Problem 1-27

1-27.

Sketch the graph of

. 1-27 HW eTool (Desmos). Homework Help ✎Why does this graph have a vertical asymptote? What is the equation of that asymptote?

State the equation of the horizontal asymptote.

Alter

so that the vertical asymptote is *x*= 1 and the horizontal asymptote is*y*= 3.

Consider your answer to 1-26(d).

Vertical asymptotes are lines with undefined slopes. Their equations are of the form: *x* = *k* where *k* is a constant.

Consider the horizontal lines that you found in problem 1-22(b).

Horizontal asymptotes are lines with 0 slope. Their equations are of the form: *y* = 0*x*+*b* or *y* = *k*, where *k* is some constant.

Use the eTool below to view the graphs.

Click the link at right for the full version of the eTool: Calc 1-27 HW eTool