'Increasing decreasing' presentation slideshows

CSE15 Discrete Mathematics 02/27/17

CSE15 Discrete Mathematics 02/27/17. Ming-Hsuan Yang UC Merced. 2.3 One-to-one function. A function f is said to be one-to-one or injective , if and only if f(a)=f(b) implies a=b for all a and b in the domain of f A function f is one-to-one if and only if f(a)?f(b) whenever a?b

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Objectives for Section 12.2 Second Derivatives and Graphs

Objectives for Section 12.2 Second Derivatives and Graphs. The student will be able to use concavity as a graphing tool. The student will be able to find inflection points. The student will be able to analyze graphs and do curve sketching.

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Mu Alpha Theta

Mu Alpha Theta. SAT TUTORING SESSION 1. WHAT IS THE MATH SECTION OF THE SAT?. Second of two sections of SAT 2 Main Sections: Non-Calculator Section: 25 minutes (15 multiple choice questions, 5 grid-in questions)

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Higher Maths

Higher Maths. Revision Notes. Basic Differentiation. goodbye. Get Started. Basic differentiation You should know the meaning of the terms limit, differentiable at a point, differentiate, derivative, differentiable over an interval, derived function.

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Section 3-6

Section 3-6. Curve Sketching. Steps to Analyze a Graph:. a) Intercepts and symmetry b) Domain and range (continuity) c) Asymptotes d) maximums and minimums e) Increasing & decreasing Points of inflection and Concavity graph. Intercepts. Intercepts: x-intercept: when y = 0

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Sec4.3: HOW DERIVATIVES AFFECT THE SHAPE OF A GRAPH

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Extreme Values

Extreme Values. Intervals. Notation Set Notation Picture. (a,b) [a,b] [a,b) (a,b] (a,?) [a, ?). a < x < b a < x < b a < x < b a < x < b x > a x > a. Inequalities. If a < b then a + c < b + c If a < b and c < d then a + c < b + d If a < b and c > 0 then ac < bc

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Calculus I Chapter 4(2) Increrasing Decreasing First Derivative Test

Calculus I Chapter 4(2) Increrasing Decreasing First Derivative Test. Increasing & Decreasing Functions. A function is Increasing between two points if the y-value of the second point is greater than the y-value of the first point.

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Calculus I

Calculus I. Section 4.3 Graphs and Derivatives. Homework Changed. Read (pp 296-303) and (pp 316-329) Do (pp 304) 1, 5, 7, 10, 13, 17, 23, 25, 27, 31, 33, 43, 45 Do (pp 324) 1, 17, 29, 33, 41. Increasing/Decreasing Test.

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Analyzing graphs

Analyzing graphs. Objective: identify key features of a graph and use them to sketch a picture What are the 7 key features of a graph?. Key Features of a Graph. #1 Roots (x-intercepts/zeros) Where does the graph cross the x axis?. #2 Y-intercepts Where does the graph cross the y axis?.

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Lecture 8

Lecture 8. Increasing and Decreasing Functions. Graphs. decreasing. increasing. Sometimes increasing, sometimes decreasing. Increasing/decreasing on an interval. y = f(x). f is decreasing on [a,b], increasing on [c,d]. f is neither decreasing nor increasing on [a,d], [b,c], [b,d].

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3.1: Increasing and Decreasing Functions

3.1: Increasing and Decreasing Functions. Definition. A function f is increasing on an interval if for any 2 numbers x 1 and x 2 in the interval x 1 <x 2 implies f(x 1 ) < f(x 2 )

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Accumulation Function

Accumulation Function. Prepare to take notes. The powerpoint is on the web page. Consider the graph f(t) = 2. What is the value of ?.

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Section 4.3

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Exponents & Logs Starting with Log

Exponents & Logs Starting with Log. Non-dichotomous Multiple Choice. What do we know about 9^2? That it is the same as 81 That it is the same as 3^4 That its absolute value is bigger than 9^-7 That there could be a number where 5^number = 9^2. What do we know about 3^1.5?

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MATH 2221

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Math 1304

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What does the 1 st derivative of a function tell us about the graph of the function?

Sketching the Graph of a Function Using Its 1st and 2nd Derivatives. What does the 1 st derivative of a function tell us about the graph of the function? It tells us __________________________________________________________

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1.) Describe the graph in terms of increasing/decreasing.

1.) Describe the graph in terms of increasing/decreasing. 2.) On which interval is the graphed portion of the function increasing or decreasing? 3 .) What is the average rate of change from x = 4 to x = 7? 4 .) What is the average rate of change from x = -2 to x = 2?

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