Rational Functions Worksheet
Graph the Following Rational Functions and Determine Their Center
1f(x) = 6/x
2
3
4
5
6
7
1
Graph the rational function:
1f(x) = 6/x
| x | −6 | −3 | −2 | −1 | 1 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|---|---|
| f(x) = 6/x | −1 | −2 | −3 | −6 | 6 | 3 | 2 | 1 |
The center of the hyperbola is: (0, 0)
2
Graph the rational function and determine its center:
f(x) = 6/x moves up 3 units.
The center of the hyperbola is: (0, 3)
3
Graph the rational function and determine its center:
f(x) = 6/x is shifted down 3 units.
The center of the hyperbola is: (0, −3)
4
Graph the rational function and determine its center:
f(x) = 6/x is shifted left 3 units.
The center of the hyperbola is: (−3, 0)
5
Graph the rational function and determine its center:
f(x) = 6/x is shifted to the right 3 units.
The center of the hyperbola is: (3, 0)
6
Graph the rational function and determine its center:
f(x) = 6/x is shifted to the right 3 units and up 4.
The center of the hyperbola is: (3, 4)
7
Graph the rational function and determine its center:
f(x) = 6/x is shifted to the left 1 unit and 3 units upward.
The center of the hyperbola is: (−1, 3)
