8.2 Check-Up Please complete the problems at your desk on your own!

8.2 HW Questions p.

I can graph reciprocal functions. I can identify the domain, range, and asymptotes of reciprocal functions.

What’s a reciprocal function?

x y –4 –3 –2 –1 -1/2 x y /2 Domain:___________ Range: ___________ Graph What does the graph of a reciprocal function look like?

Hyperbola A type of rational function. Has 2 parts called branches. (blue parts) They are symmetrical. Has 1 vertical asymptote and 1 horizontal asymptote. *Asymptote: A line which a graph approaches, but never touches.

Domain: Range: Domain: Range: Domain: Range: x ≠ 1 y ≠ 0 x ≠ -3.5 y ≠ 0 x ≠ 4 y ≠ 0

Domain: Range: Domain: Range: Domain: Range: x ≠ 0 y ≠ 4 x ≠ 2 y ≠ -3 x ≠ -3 y ≠ -2

ASYMPTOTES-The line at which a graph approaches. Vertical ASYMPTOTES - Are formed by the values in which x is undefined. Horizontal ASYMPTOTES – Are the values that the function approaches. Domain:Vertical asymptote: Range: Horizontal asymptote: x = -3 y = -6 x ≠ -3 y ≠ -6

Graph the functions, including asymptotes. State the domain and range.Domain: Range: Vertical Asymptote:Horizontal Asymptote:

Homework: 8.3 Graphing Simple Rational Functions Worksheet