1.2 Basics of Functions and Their Graphs Introduction to Relations Domain and Range of a Relation Any set of ordered pairs (x‚y) is called a relation in x and y. Furthermore‚ The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation. Definition of Function and Vertical Line Test Definition of a Function Given a relation in x and y‚ we say “y is a function of x” if for every
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worksheet. A formula starts with an equal sign (=). For example‚ the following formula multiplies 2 by 3 and then adds 5 to the result. =5+2*3 A formula can also contain any or all of the following: functions‚ references‚ operators‚ and constants. Parts of a formula Functions: The PI() function returns the value of pi: 3.142... References: A2 returns the value in cell A2. Constants: Numbers or text values entered directly into a formula‚ such as 2. Operators: The ^ (caret) operator raises
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Submitted to: MRS. VILORIA Professor * Constant Function: Let ’A’ and ’B’ be any two non–empty sets‚ then a function ’’ from ’A’ to ’B’ is called Constant Function if and only if range of ’’ is a singleton. * Algebraic Function: The function defined by algebraic expression are called algebraic function. e.g. * Polynomial Function: A function of the form Where ’n’ is a positive integer and are
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sum as i runs from 1 to n of the ai 4. Linear algebra ‖x‖the norm (or modulus) of x OA→OA / vector OA OA¯ OA / the length of the segment OA AT A transpose / the transpose of A A−1 A inverse / the inverse of A 5. Functions f(x) fx / f of x / the function f of x f:S→T a function f from S to T x→y x maps to y / x is sent (or mapped) to y f’(x) f prime x / f dash x / the (first) derivative of f with respect to x f”(x) f double-prime x / f double-dash x / the second derivative of f
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the solution region to the following function? f (x) > 2x + 4 + 3 A. Quadrant I only B. Quadrants I and III Quadrants II‚ III and IV C. Quadrants I and II 2. Determine which of the following relations is not a function. A. B. C. D. 3. Which defines the range of the following function: f (x) = x – 5
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FUNCTION | DESCRIPTION | DAVERAGE | Returns the average of selected database entries | DCOUNT | Counts the cells that contain numbers in a database | DCOUNTA | Counts nonblank cells in a database | DGET | Extracts from a database a single record that matches the specified criteria | DMAX | Returns the maximum value from selected database entries | DMIN | Returns the minimum value from selected database entries | DPRODUCT | Multiplies the values in a particular field of records that
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Linear Functions There are three different ways to write linear functions. They are slope-intercept‚ point-slope‚ and standard form. There are certain situations where it is better to use one way than another to solve a problem. It is important to understand and comprehend the mechanics of these three forms so that you know what form to use when solving a problem. The first form‚ point-slope‚ is written as y-y1=m(x-x1). M is the slope and x1 and y1 correspond to a point on the line. It’s good to
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:………………………………………….. Date received …………………………………….. Date completed …………………………. Marks of the Topical Test : …………………………….. Prepared by : PN HJH SARIPAH AHMAD Sekolah Menengah Sains Muzaffar Syah Melaka 75450 AYER KEROH MELAKA 1 LEARNING AREA : FUNCTIONS Learning Objectives : Understand the concept of relations Learning Outcomes : Student will be able to 1.1 Represent relation using a) arrow diagram ‚ b) ordered pairs‚ c)graphs 1.2 Identify domain‚ co domain‚ object‚ image and range of a relation
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Knowledge function of attitudes Daniel Katz (1960) outlined 4 functions of attitudes one of them being ‘knowledge’ Definition 1 “Knowledge function: Attitudes organize and structure one’s environment. Attitudes provide a sense of understanding and consistency.” (Katz‚ 1960 in Table 1: Shavitt‚ 1989) Definition 2 “Knowledge {function of attitude} - Attitudes provide meaning (knowledge) for life. The knowledge function refers to our need for a world which is consistent and relatively stable. This
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• Explain the domain and range of a function. Under what circumstances would the domain be something other than all real numbers? Provide an example. Domain: The domain of a function is the set of ‘input’ values; the function must be well defined for these input values. Range: The range of a function is the set of ‘output’ values that result after f is applied to every element of the domain. **The domain will NOT be all real numbers when the horizontal distance from
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