CPM Homework Help : CALC Problem 1-27

Sketch the graph of . 1-27 HW eTool (Desmos). Homework Help ✎
1. Why does this graph have a vertical asymptote? What is the equation of that asymptote?
2. State the equation of the horizontal asymptote.
3. Alter so that the vertical asymptote is x = 1 and the horizontal asymptote is y = 3.

Hint (a):

Consider your answer to 1-26(d).

More Help (a):

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

Hint (b):

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

More Help (b):

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

Hint (c):

$y=\frac{1}{x-h}+k$

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