'Constant function' presentation slideshows

Mathematics

Mathematics. Session. Functions, Limits and Continuity-1. Session Objectives. Function Domain and Range Some Standard Real Functions Algebra of Real Functions Even and Odd Functions Limit of a Function; Left Hand and Right Hand Limit

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Real-Valued Functions of a Real Variable and Their Graphs

Real-Valued Functions of a Real Variable and Their Graphs. Lecture 43 Section 9.1 Wed, Apr 18, 2007. Functions. We will consider real-valued functions that are of interest in studying the efficiency of algorithms. Power functions Logarithmic functions Exponential functions.

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Discrete Random Variables

Discrete Random Variables. : 9 10 11 12. Numerical Outcomes. Consider associating a numerical value with each sample point in a sample space. (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

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Boolean Algebra

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3.3 Library of Functions, Piecewise-Defined Functions

3.3 Library of Functions, Piecewise-Defined Functions. A linear function is a function of the form. f(x)=mx+b. The graph of a linear function is a line with a slope m and y- intercept b. (0,b). A constant function is a function of the form. f(x)=b. y. b. x.

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Section 3.4

Section 3.4. Objectives: Find function values Use the vertical line test Define increasing, decreasing and constant functions Interpret Domain and Range of a function Graphically and Algebraically. * f(w) * f(x) * f(z) * f(5) * 3 * 4 * - 9. x * z *

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PRECALCULUS I

PRECALCULUS I. Functions and Graphs Function, domain, independent variable Graph, increasing/decreasing, even/odd. Dr. Claude S. Moore Danville Community College. Definition: Function.

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Lesson 1.2

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Chapter 3 Section 4: Library of Functions

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Basic Differentiation Rules

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Functions

Functions. Definition and notation. Definition: A function f from a set X to a set Y is a relationship between elements of X and Y with the property that each element of X is related to a unique element of Y. Denoted f:X ?Y .

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Derivatives

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1.6 part I Parent Functions

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Section 2.3

Section 2.3. Differentiation Formulas. DIFFERENTIATION FORMULAS FOR BASIC FUNCTIONS. 1. The derivative of a constant function, f ( x ) = c. 2. The derivative of the identity function, f ( x ) = x. THE POWER RULE.

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General rules: Find big-O

General rules: Find big-O. f (n) = k = O(1) f ( n ) = a k n k + a k-1 n k-1 + . . . + a 1 n 1 + a 0 = O( n k ) Other functions, try to find the dominant term according to the growth rate of the well known functions Example f(n)=5n 2 +2 n f(n)=5n 2 +3nlog(n).

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The Limit Theorems

The Limit Theorems. Limit of a Constant Function. If f(x)=k , where k is a constant, then Example: f(x)=4 Find the limit as x approaches 3. Limit of the Identity Function. If f(x)=x, then Example: f(x)=x Find the limit as x approaches 3. Limit of a Constant Times a Function.

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1-3 Graphing Linear Equations

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10.3: Continuity

10.3: Continuity. Definition of Continuity . A function f is continuous at a point x = c if 1. 2. f ( c ) exists 3. A function f is continuous on the open interval ( a , b ) if it is continuous at each point on the interval.

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of FUNCTION TRANSFORMATIONS

of FUNCTION TRANSFORMATIONS. Functional Metaphors. Constant. A constant function is like a table because it stays nice and level. Linear. A linear function is like a hill. If the slope is positive you are climbing up. If the slope is negative you can be skiing down. . Quadratic.

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