# P06SelectedAnswers - Project 6 MAC 2311 1 Examine the piecewise-defined function below and sketch the graph carefully on the axes g x = e x x< x

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

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.

Unformatted text preview: Project 6 MAC 2311 1. Examine the piecewise-defined function below, and sketch the graph carefully on the axes: g ( x ) = e- x x < x = 0 2- 1 x < x < 1 1 x > 1 Evaluate the following limits: lim x →- g ( x ) = lim x → + g ( x ) =-∞ lim x → g ( x ) = lim x → 1- g ( x ) = 1 lim x → 1 + g ( x ) = lim x → 1 g ( x ) = 1 Although we have not discussed this yet, test your intuition and understanding of limits and limit notation by guessing the value of the following limits: lim x →∞ g ( x ) = 1 lim x →-∞ g ( x ) = ∞ 2. Sketch the function h ( x ) = x 2- 6 x + 5 x- 5 . (Consider simplifying first.) x- 1 , x 6 = 5 What continuous function is identical to h ( x ) for all x except x = 5 ? Evaluate the limit: lim x → 5 h ( x ) . What type of discontinuity does this function have? hole at ( 5 , 4 ) 3. A rectangular piece of cardboard of dimensions 8 by 17 inches is used to make an open-top box by cutting out a small square of side...
View Full Document

## This note was uploaded on 04/04/2012 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

### Page1 / 2

P06SelectedAnswers - Project 6 MAC 2311 1 Examine the piecewise-defined function below and sketch the graph carefully on the axes g x = e x x< x

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

View Full Document
Ask a homework question - tutors are online