7. A point of discontinuity occurs
when. . .
It causes or
in the graph.
8. Example 1. Find the points of discontinuity.
a.
1x2x
1
y 2
++
= b.
1x
1x
y 2
+
+−
=
9. If a number is a solution to
only the denominator of a
rational function, then it
creates an __________________ in
the function.
ex. )2x)(1x(
1x
y
+−
+
=
10. If a number is a solution to
both the numerator and
denominator of a rational
function, then it creates a
_____________ in the function.
ex.
)1x)(2x(
2x
y
−−
−
=
11. Example 2. Describe the vertical
asymptotes and holes for the graph of
each rational function.
a. b.)3x)(2x(
1x
y
−−
+
=
2x
)1x)(2x(
y
−
−−
=