'Interval 2' presentation slideshows

AB Calculus

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Riemann Sum

Riemann Sum. Riemann Sum. Formula. Riemann Sum. Step 1. Step 2. Step 3. Riemann Sum. We start by subdividing the interval [a,b] into n subintervals. The width of the interval [a,b] is b-a. the width of each subinterval is. The subintervals are. Riemann Sum. Term-103.

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1.3- Functions and their Graphs

1.3- Functions and their Graphs. 5. 4. 3. 2. 1. -5. -4. -3. -2. -1. 1. 2. 3. 4. 5. -1. -2. -3. -4. -5. Use the graph of the function f to answer the following questions: What are the function values f (-1) and f (1)? What is the domain of f ( x )?

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AP Calculus AB Chapter 3, Section 2

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3.2 Properties of Functions

3.2 Properties of Functions. If c is in the domain of a function y=f(x), the average rate of change of f from c to x is defined as. This expression is also called the difference quotient of f at c. y = f ( x ). Secant Line. ( x , f ( x )). f ( x ) - f ( c ).

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Obtaining Information from Graphs

Obtaining Information from Graphs. You can obtain information about a function from its graph. At the right or left of a graph, you will find closed dots, open dots, or arrows. A closed dot indicates that the graph does not extend beyond this point and the point belongs to the graph.

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3.2 Properties of Functions

3.2 Properties of Functions. If c is in the domain of a function y=f(x), the average rate of change of f from c to x is defined as. This expression is also called the difference quotient of f at c. y = f ( x ). Secant Line. ( x , f ( x )). f ( x ) - f ( c ).

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3.2 Properties of Functions

3.2 Properties of Functions. If c is in the domain of a function y=f ( x ) , the average rate of change of f from c to x is defined as. This expression is also called the difference quotient of f at c. y = f ( x ). Secant Line. ( x , f ( x )). f ( x ) - f ( c ).

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Solve the following inequality: 4 (x-2) < 1 (x-6) 5 3

Solve the following inequality: 4 (x-2) < 1 (x-6) 5 3. State which subset the following fall into (R, Q, Z, N, W, Ir) -cos ? /6 -5.5. Write the equation of the line for the following: Passes through (0,1) and is perpendicular to the line 8x-13y = 13.

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Calculus!!!

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Section 6.5 Average Value of a Function

Section 6.5 Average Value of a Function. AP Calculus December 11, 2009 Berkley High School todd1@toddfadoir.com. What does average mean?. What is the average of the function f(x)=4 ? Obviously, the average is 4. Could it also be the area divided by the width?. What does average mean?.

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Chapter 5 Review

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Aim: How can we use the Mean Value Theorem to solve problems?

Aim: How can we use the Mean Value Theorem to solve problems?. By: Nihir Shah. The Mean Value Theorem. The Mean Value Theorem is a very simple phenomenon. Here is a defination of the Mean Value Theorem from Wikipedia:

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5.5

MeanValue Theorem. 5.5. If f ( x ) is continuous over [ a , b ] and differentiable over ( a , b ), then at some point c between a and b :. The Mean Value Theorem says that at some point in the closed interval, the actual slope equals the average slope.

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Applied Calculus (MAT 121) Dr. Day Wednes day , Feb 29, 2012

Applied Calculus (MAT 121) Dr. Day Wednes day , Feb 29, 2012. Asymptotes Absolute Extreme Values Solving Max/Min Problems. Absolute Extremes. For f(x ) = 3x 4 + 4x 3 + 1, determine its absolute extreme values over the interval [?2,1].

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Mean Value Theorem

Mean Value Theorem. 4.4b. Mean Value Theorem (for definite integrals). If f is continuous on then at some point c in ,.

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