1 / 15

Ariel Hernandez (Power Point) Michellene Saegh ( Problem Solving)

Team THUNDERSTORM. Ariel Hernandez (Power Point) Michellene Saegh ( Problem Solving) and Raynelle Salters (Graphing). Pg. 369 #32 R(x) = ( X 4 ) / ( X 2 - 9) Step 1: < FACTOR > R(x) = ( X 4 ) / ( X 2 - 9)  R(x) = ( X 4 ) / (x-3)(x+3). Step 2:

anais
Download Presentation

Ariel Hernandez (Power Point) Michellene Saegh ( Problem Solving)

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. Team THUNDERSTORM Ariel Hernandez (Power Point) MichelleneSaegh(Problem Solving) and Raynelle Salters (Graphing)

  2. Pg. 369 #32 R(x) = (X4) / (X2 - 9) Step 1: < FACTOR > R(x) = (X4) / (X2 - 9)  R(x) = (X4) / (x-3)(x+3)

  3. Step 2: FIND THE DOMAIN R(x) = (X4) / (x-3)(x+3) You have (x-3)(x+3) in the Denominator So set them equal to Zero x-3 = 0 and x+ 3= 0 x ≠ 3 x ≠ -3 The Domain is all real numbers except: x = 3 and x = -3

  4. Step 3: Find the Vertical Asymptotes Take the Denominator of the Function R(x) = (X4) / (X2 - 9) and set it equal to zero X2 – 9 = 0 X2 = 9 √x2 = √9 X = 3 and -3

  5. So since X = 3 and X= -3 then that means the function R(x) = (X4) / (X2 - 9) Has two vertical asymptotes One at X = -3 and the other at X = 3

  6. Step 4: Finding the Horizontal Asymptotes To find the Horizontal Asymptotes of the Function R(x) = (X4) / (X2 - 9) Compare the Degrees of the numerator and the denominator In this case The Numerator has aX4with a degree of 4 The Denominator has X2 with a degree of 2

  7. Therefore : The N(4) > D(2) So according the Rule about Horizontal Asymptotes In which the degree of the numerator is n and degree of the denominator is m. If n > m + 1 That tells you that the Graph of R has neither a horizontal behavior nor an oblique asymptote. So NO Horizontal Asymptote for R(x) = (X4) / (X2 - 9)

  8. Step 5: Finding the x and y intercepts of R(x) = (X4) / (X2 - 9) For the x-intercept Set R(x) = (X4) / (X2 - 9) = 0 and solve (X4) / (X2 - 9) = 0 (X4) = 0 4√(X4= 4√0 X= 0 Therefore the x-intercept for R(x) = (X4) / (X2 - 9) Is (0, 0)

  9. For the y-intercept Plug in Zero in place of X R(x) = (X4) / (X2 - 9) to find the x coordinate R(x) = (04) / (02 - 9) y = (0) / (- 9) y = 0 Therefore the y-interceptfor R(x) = (X4) / (X2 - 9) Is (0,0)

  10. R(x) = (X4) / (X2 - 9) X-intercept (0,0) and Y-intercept (0,0)

  11. Step 6: Plotting Points To Graph The Function R(x) = (X4) / (X2 - 9) Zoomed In

  12. Graph of R(x) = (X4) / (X2 - 9) Zoomed in.

  13. Graph of R(x) = (X4) / (X2 - 9) Full View

  14. Team THUNDERSTORM THE END WATCH OUT FOR LIGHTNING

More Related