Page 1 Limits and Continuity – Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Page 2 Limits and Continuity – Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function • Fundamental Knowledge • Its application 2 Page 3 Limits and Continuity – Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function • Fundamental Knowledge • Its application 2 Definition of Function A function is a term used to define relation between variables. A variable y is called a function of a variable x if for every value of x there is a definite value of y. Symbolically y = f(x) We can assign values of x arbitrarily. So x is called independent variable whereas y is called the dependent variable as its values depend upon the value of x. 3 Page 4 Limits and Continuity – Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function • Fundamental Knowledge • Its application 2 Definition of Function A function is a term used to define relation between variables. A variable y is called a function of a variable x if for every value of x there is a definite value of y. Symbolically y = f(x) We can assign values of x arbitrarily. So x is called independent variable whereas y is called the dependent variable as its values depend upon the value of x. 3 Types of Functions 1. Even Function – A function f(x) is said to be even function if f(x) = f(x) e.g. f(x) = 2x 2 + 4x 4 f(x) = 2(x) 2 + 4(x) 4 = 2x 2 + 4x 4 = f(x) Hence 2x 2 + 4x 4 is an even function. 4 Page 5 Limits and Continuity – Intuitive Approach Chapter 8 Paper 4: Quantitative Aptitude Mathematices Ms. Ritu Gupta B.A. (Hons.) Maths and MA (Maths) Introduction to Function • Fundamental Knowledge • Its application 2 Definition of Function A function is a term used to define relation between variables. A variable y is called a function of a variable x if for every value of x there is a definite value of y. Symbolically y = f(x) We can assign values of x arbitrarily. So x is called independent variable whereas y is called the dependent variable as its values depend upon the value of x. 3 Types of Functions 1. Even Function – A function f(x) is said to be even function if f(x) = f(x) e.g. f(x) = 2x 2 + 4x 4 f(x) = 2(x) 2 + 4(x) 4 = 2x 2 + 4x 4 = f(x) Hence 2x 2 + 4x 4 is an even function. 4 Types of Functions  Continued 2. Odd Function – A function is said to be odd function if f(x) =  f(x) e.g. f(x) = 3x + 2x 5 f(x) = 3(x) + 2(x) 5 = 3x  2 x 5 =  (3x + 2 x 5 ) =  f(x) Hence 3x + 2 x 5 is an odd function. 5Read More
Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 
81 videos101 docs87 tests
