plugin-thq1 - Differential Calculus Fall 2010 Take-Home...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Differential Calculus Fall 2010 Take-Home Quiz 1 1. Find the domain and range of the function 1) y = x 2 + 1 2) y = - x - 2 3) y = 1 x + 2 2. Evaluate the function as indicated. Determine its domain and range. f ( x ) = ( 3 x + 3 , x < 1 - x 2 - 3 , x 1 f ( - 2) , f (3) , f ( t 2 + 5) Find the composite functions ( f g ) and ( g f ). What is the domain of each composite function? 3. f ( x ) = x 2 + 1 , g ( x ) = sin x 4. f ( x ) = x 2 + 3 , g ( x ) = 1 x - 2 5. Find the limit L . Then use the ε - δ definition to prove that the limit is L . lim x 2 (2 x - 3) 6. Find the limit. 1) lim x 2 (2 x 3 - x + 5) 2) lim x 2 x + 4 x 2 + 1 3) lim x →- 2 cos πx 7. Use the information to evaluate the limits lim x c f ( x ) = - 3 , lim x c g ( x ) = 5 1) lim x c 2 f ( x ) + q g ( x )
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
2) lim x c 3 f ( x ) q g ( x ) Find the limit (if it exists). 8. lim x →- 1 x 2 - x - 2 x 2 - 1 9. lim x 3 x 2 - 9 x 2 - 5 x + 6 10. Find the limit (if it exists). lim x 1 x + 3 - 2 x 2 - 1 Determine the limit of the trigonometric function (if it exists)
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

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