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Everybody Welcome to Our Digital campus. Matuail Bahumukhi High School (A world Class Educational Institute). Matuail Bahumukhi High School Class: Nine Version: English Class Teacher: Shahadat Hossain Section: A Subject: Higher Mathematics Total students: 50
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Everybody Welcome to Our Digital campus • MatuailBahumukhi High School • (A world Class Educational Institute)
MatuailBahumukhi High School Class: Nine Version: English Class Teacher: ShahadatHossain Section: A Subject: Higher Mathematics Total students:50 Present Student: 46 Absent Student:4 Date:21/03/2012
Memory Test *What do you mean by set ? ** What do you mean by an empty set. ***What do you mean by relations?
Now let us go our today lesson Topic name Function
Objective *To make clear concept about function. **To make Capability of determine Domain, Range, and Function.
a b c 1 2 3 4 fig.1: A function FunctionLet A and B be two non empty sets. Then the function f is a relation between A and B in which every element of A corresponds to unique element of B. It is denoted by f :A→B and read as f is a function from A into B. Example: f:A B
a b c 1 2 3 4 a b c 1 2 Conditions of a function f:A B f:A B f:A B *1. Fore every element there is an image. Which is a function *2. Does not exist more than one image for an element . 1 2 a b c Which is not a function *It may two elements has same image for an element . Which is a function
Practical Application of function Mr. ChittaRanjon Mrs. Fahmida Ruma Munni Mr. Mamun Mrs. Fahmida Munni Uncle Aunt Sister A birthday party where only relatives are allow. Assistant teacher It is a function NAEM Organized ICT program where only Assistant Teacher are allow. It is not function
a b c 1 2 3 4 Some necessary Definition: Domain : Let f: X Y be a function. Then the permissible value of x which can take from the set Xis called domain of f. Its denoted by Df. Range : Let f: X Y be a function. Then the range of f to consists precisely of those elements in Y which are the image of at least one value of X. Its denoted by Rf. Suppose f : X Y c a, b, Here, Df = { } Rf={ } 4 2, 3,
f-:P Q f:XY f-:AB a b c 1 2 3 4 1 2 a b c 1 2 3 Class work Determine which function or not a b c Fig.: 3 Fig.: 2 Fig.: 1
f-:P Q f:XY f-:AB a b c 1 2 3 4 1 2 a b c 1 2 3 Make sure your Answer a b c Fig.: 3 Fig.: 2 Fig.: 1 It is a function It is not a function It is a function
Evaluation 1. What do you mean by function? 2. What do you mean by Domain, Range.
1 2 -2 3 5 f-:AB 1 2 a b c Creative type Question Q1: f-:AB Fig.: 2 Fig.: 1
You should Attended and submitted you Assignment next class.
Presented by SHAHADAT HOSSAIN Assistant teacher Of Mathematics MatuailBahumukhi High School, Matuail, Jatrabari, Dhaka-1362.
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