Day-6-filled - Math 1314 Day 6 Optimization We’re...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

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

Unformatted text preview: Math 1314 Day 6 Optimization We’re interested in finding the highest high point or the lowest low point of our function. We call these the absolute extrema. First – over the entire domain of the function. Example 1: The graph of a quadratic function will have either an absolute max or an absolute min, but not both. If the leading coefficient is positive, the parabola opens up and the function has a minimum. If the leading coefficient is negative, the parabola opens down and the function has a maximum. Example 1 : Find any absolute extrema: 2 ( ) 3 5 8 f x x x =- + Remember some functions have absolute maxima, some have absolute minima and some have neither! Most of the time, you’ll need to find absolute extrema over a closed interval . You can only do this if the function is continuous on that interval. So if there are any asymptotes (zeros in the denominator) you might have a problem. Here’s the process: Finding the Absolute Extrema of f on a Closed Interval 1. Find the critical points of f that lie in (a, b). 2. Compute the value of the function at every critical point found in step 1 and also compute f ( a ) and f ( b ). 3. The absolute maximum value will be the largest value found in step 2, and the absolute minimum value will be the smallest value found in step 2....
View Full Document

This note was uploaded on 02/21/2012 for the course MATH 1314 taught by Professor Marks during the Fall '08 term at University of Houston.

Page1 / 17

Day-6-filled - Math 1314 Day 6 Optimization We’re...

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