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?

What does the graph of a reciprocal
function look like?
x
y
Graph
1
f ( x) 
x
x
–4
4
–3
3
–2
2
–1
1
Domain:___________
-1/2
Range: ___________
1/2
y
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: x ≠ 1
Domain: x ≠ -3.5
Domain: x ≠ 4
Range: y ≠ 0
Range: y ≠ 0
Range: y ≠ 0
Domain: x ≠ 0
Domain: x ≠ 2
Domain: x ≠ -3
Range: y ≠ 4
Range: y ≠ -3
Range: 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:
Range:
x ≠ -3
y ≠ -6
Vertical asymptote:
x = -3
Horizontal asymptote:
y = -6
Graph the functions, including asymptotes.
State the domain and range.
3
3x
+
5
f (x) =
-8
f (x) =
x-7
x -1
Domain:
Domain:
Range:
Range:
Vertical Asymptote:
Horizontal Asymptote:
Vertical Asymptote:
Horizontal Asymptote:
Homework:
8.3 Graphing Simple Rational Functions
Worksheet