Mock Gateway 3 - formulas are required - just label the...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Mock Gateway III (Graphs) 1. (20 pts) Find the absolute minimum and maximum of f ( x ) = 15 x 4 - 15 x 2 + 31 on the interval [ - 1 , 2]. 2. (10 pts) Find the points where f has a local maximum or minimum on the given domain and identify each point as a local maximum or local minimum. If there is no local maximum or minimum, explain (briefly) why. . f ( x ) = x 2 + 3 x , 0 < 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
3. (28 pts) For the given derivative of a function f , f 0 ( x ) = ( x - 1)( x + 1), (a) What are the critical numbers of f ? (b) On what intervals is f increasing? (c) On what intervals is f decreasing? (d) At what points, if any, does f assume a local maximum or local minimum value? 4. (10 pts) Sketch the graph of a function that satisfies the given conditions. No
Background image of page 2
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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: formulas are required - just label the coordinate axes and sketch an appropriate graph. f (-2) =-1 , f (0) = 0 , f (2) = 1 , lim x - f ( x ) = 0 , lim x f ( x ) = 0 5. (12 pts) The graph of the rst and second derivative of a function y = f ( x ) are shown. Add to the picture a sketch of the approximate graph of f , given that the graph passes through the point P . 6. (20 pts) The accompanying gure shows a portion of the graph of a twice-dierentiable function y = f ( x ). At each of the ve labeled points, classify y and y 00 as positive, negative or zero....
View Full Document

This note was uploaded on 05/15/2008 for the course MATH 231 taught by Professor Mooney during the Spring '08 term at Wisconsin Milwaukee.

Page1 / 4

Mock Gateway 3 - formulas are required - just label the...

This preview shows document pages 1 - 4. Sign up to view the full document.

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