1 / 10

Video

Lesson. Video. 9.3. “What are we trying to accomplish?”. Algebra 2 2013-14. Example by Mrs. G. Give It a Try. Lesson 9.3. Graph rational function that cannot be written in transformational form. Objective. Video. Example by Mrs. G. Give It a Try. Video. No Video Today!!. Objective.

olina
Download Presentation

Video

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson Video 9.3 “What are we trying to accomplish?” Algebra 2 2013-14 Example by Mrs. G Give It a Try

  2. Lesson 9.3 • Graph rational function that cannot be written in transformational form. Objective Video Example by Mrs. G Give It a Try

  3. Video No Video Today!! Objective Video Example by Mrs. G Give It a Try

  4. Example by Mrs. G Steps for graphing rational functions: • Step 1: Find the vertical asymptotes. • Vertical asymptotes occur at the values of x that make the denominator zero. • Set the denominator equal to zero and solve. Click to continue. Objective Video Example by Mrs. G Give It a Try

  5. Example by Mrs. G Steps for graphing rational functions: • Step 2: Find the end behavior asymptotes. • End behavior asymptotes can be horizontal or “slant” • Compare the “bigness” of the numerator and denominator. • One of three things with happen. • If degree of denominator is larger than degree of numerator, then horizontal asymptote at y = 0. • If degree of denominator is equal to degree of numerator, then horizontal asymptote at y = (leading coefficient of num.)/(leading coefficient of den.) • If degree of denominator is smaller than degree of numerator, then slant asymptote at y = (quotient of polynomials) Click to continue. Objective Video Example by Mrs. G Give It a Try

  6. Example by Mrs. G Steps for graphing rational functions: • Step 3: Find the x - intercepts. • x – intercepts occur when y = 0 • y = 0 in a rational function when the numerator equals 0 • Therefore, set the numerator equal to 0 and solve for x. Click to continue. Objective Video Example by Mrs. G Give It a Try

  7. Example by Mrs. G Steps for graphing rational functions: • Step 4: Find the y - intercepts. • y – intercepts occur when x = 0 • Substitute 0 for all x in the expression and evaluate • When x = 0, y = (constant of numerator)/(constant of denominator) Click to continue. Objective Video Example by Mrs. G Give It a Try

  8. Example by Mrs. G Steps for graphing rational functions: • Step 5: Prepare to graph • Choose an appropriate scale based on the results of steps 1 – 4. • Draw in the vertical and end behavior asymptotes. • Plot the x – and y – intercepts. Click to continue. Objective Video Example by Mrs. G Give It a Try

  9. Example by Mrs. G Steps for graphing rational functions: • Step 6: Graph • Make a table of values. Choose x values that will help to “complete the picture” of your graph. • Plot the points from the table of values. • Sketch the curves of your graph. Click to continue. Objective Video Example by Mrs. G Give It a Try

  10. Give It a Try • For the function try to find the necessary information from as many steps as you can. • DO NOT GRAPH. We will do that together next class. Bring your work and answer to our next class! Objective Video Example by Mrs. G Give It a Try

More Related