Review2Fall2010 (1)

# Review2Fall2010 (1) - MAC 1147 Review 2 Fall 2010 Exam 2...

This preview shows pages 1–2. Sign up to view the full content.

MAC 1147 Review 2, Fall 2010 Exam 2 covers Lectures 9-17 1. Classify the following functions as even, or odd, or neither even nor odd: (a) f ( x ) = 2 x ± 1 (b) f ( x ) = 1 p x 2 + 5 (c) f ( x ) = x 3 ± x (d) f ( x ) = j x j 2. Find the average rate of change f ( x ) = 1 1 ± x on the interval [ ± 3 ; ± 1]. 3. Given the piecewise de±ned function: f ( x ) = 8 > < > : x 2 if x < 0 x ± 1 if 0 ² x < 2 1 if x ³ 2 Find f ( ± 2) ; f (0) ; f (1) ; f (2) and f (4). On what open intervals is the function increasing, decreasing and constant? Find the local maximum and minimum values of the function if they exist. 4. List all re²ections, translations and stretching that are needed in order to obtain the graph of f ( x ) = ± 2 p ± x + 1 from the graph of y = p x . Find the domain of f and sketch its graph. What is the range of f ( x )? 5. Sketch the graph of 1 ± f ( x + 2) if f ( x ) = 1 x . Find all vertical and horizontal asymptotes of the graph. 6. Let f ( x ) = 1 x 2 and g ( x ) = p 1 ± x . Find: (a) ( f ´ g )( x ), ± f g ² ( x ) and their domains (b) ± f g ² ( ± 3) (c) ( f µ g )( x ) ; ( g µ f )( x ) and their domains (d) ( f µ g )(0) 7. Name two functions f and g such that ( f µ g )( x ) = ( x 2 + 4) 3 = 2 .

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/02/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

### Page1 / 3

Review2Fall2010 (1) - MAC 1147 Review 2 Fall 2010 Exam 2...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online