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Rational Functions

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

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Rational Functions

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

  2. 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.

  3. 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.

  4. Graph the function (p < q). State the domain and range. x-intercepts: Domain: VA: Range: HA:

  5. Graph the function (p < q). State the domain and range. zeros: Domain: VA: Range: HA:

  6. Graph the function (p > q). State the domain and range. zeros: Domain: VA: HA: Range: Diagonal asymptotes:

  7. Graph the function (p > q). State the domain and range. zeros: Domain: VA: HA: Range: Diagonal asymptotes: Every y - line worth 2

  8. Graph the function (p > q). State the domain and range. zeros: Domain: VA: HA: Range: Diagonal asymptotes: Every line worth 2

  9. Graph the function (p > q). State the domain and range. zeros: Domain: VA: HA: Range: Diagonal asymptotes:

  10. Graph the function (p = q). State the domain and range. zeros: Domain: VA: HA: Range:

  11. Graph the function (p = q). State the domain and range. zeros: Domain: VA: Range: HA:

  12. Lesson 6.4 Practice C

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