Slide 1MAXIMA AND MINIMA OF FUNCTIONS Lesson 2.2 Slide 2 Definitions Global extrema : If f(c) f(x) for all x in the domain of f, f(c) is the global maximum value of f. If…

Slide 11 When you see… Find the zeros You think… Slide 2 2 To find the zeros... Slide 3 3 When you see… Find equation of the line tangent to f(x) at (a, b) You think……

Slide 1Extreme Values of Functions Slide 2 Example: The mileage of a certain car can be approximated by: At what speed should you drive the car to obtain the best gas mileage?…

Slide 1SECTION 1.7 Graphs of Functions Slide 2 T HE F UNDAMENTAL G RAPHING P RINCIPLE FOR F UNCTIONS The graph of a function f is the set of points which satisfy the equation…

Slide 14.1 Extreme Values of Functions Greg Kelly, Hanford High School, Richland, Washington Borax Mine, Boron, CA Photo by Vickie Kelly, 2004 Slide 2 4.1 Extreme Values…

Slide 1 APPLICATIONS OF DIFFERENTIATION 4 Slide 2 The method we used to sketch curves in Section 4.5 was a culmination of much of our study of differential calculus. The…

Slide 1 Announcements Topics: -sections 6.1 (extreme values), 6.4 (l’Hopital’s rule), and 7.1 (differential equations) * Read these sections and study solved examples…

ACTIVITY 30: Polynomial Functions (Section 4.1, pp. 310-322) Date: and Their Graphs Polynomial Functions: A polynomial function of degree n is a function of the form where…

Absolute extreme values are either maximum or minimum points on a curve. They are sometimes called global extremes. They are also sometimes called absolute extrema. (Extrema…

Extreme Values Notation Set Notation Picture (a,b) [a,b] [a,b) (a,b] (a,â) [a, â) a < x < b a < x < b a < x < b a < x < b x > a x > a Intervals…