UFCalcSet22 - Exercises UF Calculus Set 22 1. In the graph...

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

View Full Document Right Arrow Icon
Exercises UF Calculus Set 22 1. In the graph of f ( x ) below, identify the critical numbers, and then identify the local and absolute extrema. Word your responses to the latter by following this model: ”There is a local maximum of 24 when x is 7.” 2. In parts (a)-(c), sketch a function f with the given properties. (a) f is continuous and bounded, but has no absolute extrema. (b) f is bounded on the real line, has two local maxima, but no absolute nor local minimum. (c) f is continuous, bounded, and odd; and f has a local maximum that is smaller in value than another local minumum that it attains 3. Sketch the function on the interval provided. Determine all local and absolute extrema, if they exist. (a) f ( x ) = e - x on [ 0 , ) (b) f ( x ) = e - x on [ 0 ,a ] , a > 0 (c) f ( x ) = x 2 on [ - 2 , 2 ] (d) f ( x ) = -| x | on [ - 1 , 2 ) (e) function f ( x ) below on ( - 1 , 1 ] (f) function g ( x ) below on [ - 3 , 3 ] f ( x ) = 1 + - x x < 0 sec( x ) x 0 g ( x ) = -
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

Page1 / 2

UFCalcSet22 - Exercises UF Calculus Set 22 1. In the graph...

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

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