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Quiz 2 for Math 172, Spring 2009: Continuity and Tangent Lines, Quizzes of Calculus

The second quiz for the math 172 course during the spring 2009 semester. The quiz covers the concepts of continuity and finding the equations of tangent lines. Students are required to determine if the function 'f' is continuous at specific points and use the limit definition to find the derivative of 'f' at x = 2. They must also find the equation of the tangent line to the graph of 'f' at the point where x = 2.

Typology: Quizzes

Pre 2010

Uploaded on 08/18/2009

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koofers-user-rht 🇺🇸

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Name: ____________________________ Math 172 Spring, 2009
Quiz 2
1. Consider the function
f
whose graph is shown below.
-
2
-
1 1 2
0.5
1.0
1.5
2.0
a. (2 pts) Is
f
continuous at 0?x
=
( Explain why or why not.)
b. (2 pts) Is
f
continuous at 1?x
=
( Explain why or why not.)
2. (3 pts) Use the limit definition to find '(2)f, where 2
() 1fx x
=
+.
3. (3 pts) Find the equation of the tangent line to the graph of 2at the
point where 2x=.
() 1
fx x=+

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Download Quiz 2 for Math 172, Spring 2009: Continuity and Tangent Lines and more Quizzes Calculus in PDF only on Docsity!

Name: ____________________________ Math 172 Spring, 2009

Quiz 2

  1. Consider the function f whose graph is shown below.

    • 2 - 1 1 2

a. (2 pts) Is f continuous at x = 0?( Explain why or why not.)

b. (2 pts) Is f continuous at x = 1?( Explain why or why not.)

  1. (3 pts) Use the limit definition to find f '(2), where f ( ) x = x^2 + 1.
  2. (3 pts) Find the equation of the tangent line to the graph of 2 at the point where x = 2.

f ( ) x = x + 1