2. Holt McDougal Algebra 2 Rational Functions Holt Algebra 2Holt McDougal Algebra 2 How do we graph rational functions? How do we transform rational functions by changing parameters?

3. Holt McDougal Algebra 2 Rational Functions A discontinuous function is a function whose graph has one or more gaps or breaks. The hyperbola graphed in Example 2 and many other rational functions are discontinuous functions. A continuous function is a function whose graph has no gaps or breaks. The functions you have studied before this, including linear, quadratic, polynomial, exponential, and logarithmic functions, are continuous functions.

4. Holt McDougal Algebra 2 Rational Functions

5. Holt McDougal Algebra 2 Rational Functions Some rational functions, including those whose graphs are hyperbolas, have a horizontal asymptote. The existence and location of a horizontal asymptote depends on the degrees of the polynomials that make up the rational function. Note that the graph of a rational function can sometimes cross a horizontal asymptote. However, the graph will approach the asymptote when |x| is large.

6. Holt McDougal Algebra 2 Rational Functions

7. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p < q). State the domain and range. x-intercepts: xy xy Domain: Range:

8. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p < q). State the domain and range. zeros: xy xy Domain: Range:

9. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p > q). State the domain and range. zeros: Diagonal asymptotes: xy xy Domain: Range:

10. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p > q). State the domain and range. zeros: Diagonal asymptotes: xy xy Every y - line worth 2 Domain: Range:

11. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p > q). State the domain and range. zeros: Diagonal asymptotes: xy xy Every line worth 2 Domain: Range:

12. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p > q). State the domain and range. zeros: Diagonal asymptotes: xy xy Domain: Range:

13. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p = q). State the domain and range. zeros: xy Domain: Range:

14. Holt McDougal Algebra 2 Rational Functions HA: VA: Graph the function (p = q). State the domain and range. zeros: xy xy Domain: Range:

15. Holt McDougal Algebra 2 Rational Functions Lesson 6.4 Practice C