Tutorial 1 - Curve Sketching and Max Min problems.pdf - FAM0025/FBM0045 QAII 2019 TUTORIAL 1 CURVE SKETCHING a Find the critical point(s and inflection

Tutorial 1 - Curve Sketching and Max Min problems.pdf -...

This preview shows page 1 - 2 out of 2 pages.

FAM0025/FBM0045 QAII 2019 1 2019 COMPILED BY WSWMP TUTORIAL 1 CURVE SKETCHING a. Find the critical point(s) and inflection point(s) (if any) b. Determine the intervals on which the function is increasing or decreasing and concave up and down. c. Identify the maximum or minimum point(s). d. Sketch the graph 1. ? = ? 2 + 2 2. ? = ? 2 + 4? + 3 3. ? = − ? 3 3 − 2? 2 + 5? − 2 4. ? = 4? 3 − 3? 4 5. ? = ? 4 − 2? 2 6. ? = −2 + 12? − ? 3 7. ? = ? 2 − 2? − 24 8. ? = ? 3 − 27? Answers : 1. 𝐶𝑃: ? = 0 , No IP, Decreasing on (−∞, 0) , Increasing on (0, ∞) , CU on (−∞, ∞) , Minimum point (0,2) 2. 𝐶𝑃: ? = −2 , No IP, Decreasing on (−∞, −2) , Increasing on (−2, ∞) , Minimum point (−2, −1) 3. 𝐶𝑃: ? = 1, −5 , IP : ? = −2, Decreasing on (−∞, −5) & (1, ∞) , Increasing on (−5,1) , CU on (−∞, −2) CD on (−2, ∞) , Minimum point (−5, − 106 3 ) , Maximum point (1, 2 3 ) 4. 𝐶𝑃: ? = 0 & ? = 1 , IP : ? = 0 , 2 3 , Increasing on (−∞, 0) & (0,1) , Decreasing on (1, ∞) , CU on (0, 2 3 ) , CD on (−∞, 0) & ( 2 3 , ∞), Maximum point (1,1) 5. 𝐶𝑃: ? = 0 , ? = 1 & ? = −1 , Decreasing on (−∞, −1) & (0,1) , Increasing on (−1,0) & (1, ∞) , Relative maximum when ? = 0 , Relative minimum when ? = −1 & ? = 1 6. 𝐶𝑃: ? = 2, −2
Image of page 1
Image of page 2

You've reached the end of your free preview.

Want to read both pages?

  • Summer '19

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes
A+ icon
Ask Expert Tutors