exam1_fa05 - ) = 16 x 2 + 1 x + 3 . (a) Identify the...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: Section Number: TA Name: Section Time: Math 20A. Midterm Exam 1 October 19, 2005 You may use one page of notes, but no other assistance on this exam. Turn oF and put away your cell phone. Read each question carefully, answer each question completely, and show all of your work. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clari±cation. 1. (6 points) Consider the function f ( x ) = 7 - x . (a) Find the domain and range of f . (b) Find f - 1 , the inverse function of f . Be sure to clearly state the domain and range of f - 1 . # Score 1 2 3 4 5 6 Σ
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. (4 points) Let g be a function such that g (1) = 3 and g 0 (1) = - 5. (a) Find an equation for the line tangent to the graph of g at the point (1 , 3). (b) Find the value of lim x 1 g ( x ) - g (1) x - 1 .
Background image of page 2
3. (8 points) Let f ( x
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

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

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ) = 16 x 2 + 1 x + 3 . (a) Identify the vertical asymptotes of the graph of f by calculating the appropriate limits. (b) Identify the horizontal asymptotes of the graph of f by calculating the appropriate limits. 4. (6 points) Let a > and consider the function f ( x ) = ( 3-ax 2 if x < 1 , a x + 2 if x 1 . Find the value of a for which f is continuous and explain why the value of a that you found makes f continuous. 5. (6 points) Find the exact value of lim x 5-x- 5 x . Justify your answer. 6. (6 points) Let f ( x ) = 1 2 + 5 x . Use the defnition oF the derivative to compute f ( x ). (Note: Computing the derivative without evaluating the appropriate limit will not earn any credit.)...
View Full Document

Page1 / 6

exam1_fa05 - ) = 16 x 2 + 1 x + 3 . (a) Identify the...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online