PPT-1 MAXIMUM AND MINIMUM VALUES

A critical number is the value of x that makes f x 0 or f x undefined The absolute minimum of a function is the very lowest point on the graph over a given interval of . . Domain & Range . Domain (D): is all the x values. Range (R): is all the y values. Must write D and R in interval notation. To find domain algebraically. . set the denominator or radical = 0, then solve. Defining Relationships in the Data Model. 1. Microsoft Enterprise Consortium: . http://enterprise.waltoncollege.uark.edu. Microsoft Faculty Connection/Faculty Resource Center . http://www.facultyresourcecenter.com. Section 4.1. Definition of . Extrema. – . Let be defined on a interval. . containing :. . i. . is the minimum of on . . if . ii. is . Differentiation. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 5. th. October 2013. x. 1. x. 2. f(x. 1. ). f(x. 2. ). A function is increasing if for any two values of x, x. 1. and x. Chapter 5.4. Strategy for Solving Min-Max Problems. Understand the problem. Develop a mathematical model of the problem. Graph the function*. Identify the critical points and endpoints. Solve the mathematical model. Chapter 5.1. Absolute (Global) Extreme Values. Up to now we have used the derivative in applications to find rates of change. However, we are not limited to the rate-of-change interpretation of the derivative. Mean, Variance, and Standard Deviation for the Binomial Distribution. For Any Discrete Probability . Distribution: Formulas. Mean. . Variance. Standard deviation. . Binomial Distribution: Formulas. Definition of Extrema. Let f be defined on an interval . I. containing c.. f(c) is the . minimum. of f on . I. if f(c)≤f(x) for all x in . I. .. f(c) is the . maximum. of f on . I. if f(c)≥f(x) for all x in . Extreme Values of a function are created when the function changes from increasing to decreasing or from decreasing to increasing. Extreme value. decreasing. increasing. increasing. Extreme value. decreasing.  .  . 4.7 Forming Functions . from Verbal Descriptions. 1. Form a function from a verbal description.. 2. . Determine . the maximum and minimum values.. Objectives:. An important concern of mathematics is finding the minimum or maximum value of a function. . Guyer. High School. Denton, TX. BULL!!. Wei. Simulations Work!. But they must be:. Efficient. Effective. Sticky. ~One 90 minute block. Get the point across clearly . Engaging and concrete enough that students will remember the point. That’s a bunch of Bridget Matamoros Guyer High School Denton, TX BULL!! Wei Simulations Work! But they must be: Efficient Effective Sticky ~One 90 minute block Get the point across clearly Engaging and concrete enough that students will remember the point Mirror cabinet modelBrightness calculation*Full-circumference lighting Homogeneous lightingthroughout the entire roomDirect lighting at the topIndirect lighting at the bottom Broad light dispersal, al Rate of plant growth and development is dependent upon the temperature surrounding the plant.. Responses to temp. differ among crop . phenological. stages.. For most plant species, vegetative development usually has a higher optimum temperature than for reproductive development..