Limits of algebraic function when variable tends to finite value. In essence, we shall be using following three techniques. Algebraic limit
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Category: Function
Function – Composite and Inverse
Function-Exponent and logarithm
This post is about Exponential and Logarithm function . These function are inverse to each other. Therefore graph function are reflection about line y = x . The questions are to change exponent to log and reverse. Exponential and Logarithm P P
Transformation of Functions
In this post question are from transformation of functions. It basically deals with translation of functions through vector . Also it deal with reflection . transformation
Quadratics
First of all this post consists of questions of factorisation of quadratic equation. The method use to find solutions are splitting middle term and another method is formula . We also find the nature of roots of equation. The method is use to find nature is discriminant (D= b2-4ac). Discriminant is also used in formula […]
Quadratics
This post about one of the solution of quadratic equation which is completing square form. Therefore , we need to convert from general to completing square. completing square
Domain and Range of Function
Domain and range of functions are an important concept . Domain values define on x – axis and Range is values on y- axis in the graph. Due to these values of functions, continuity of function defined. Another use of domain to show function defined. While range defined minimum and maximum value of function. […]
Inverse and Composite function
Inverses and Composites are two important concept of functions. Composite function is defined as one function defined inside another function. Like ff(x)) or f(g(x)) etc. Concept of inverse is interchange of variables . Inverse notations are f-1(x),g-1(x) etc. Hence interchange is inverse. Therefore function and its inverse is reflection about y = x. Inverse and composite
Rational Function
Rational functions is a function that is the quotient of two polynomials. Also polynomial a function that is the quotient of two polynomials. Rational functions and the properties of their graphs such as domain, vertical and horizontal asymptotes, x and y intercepts . Rational function graph is discontinuous graph at asymptotes. Rational function
Function and Equation
Function notations are method of writing equation. Mostly , functions are portrayed as a set of x/y coordinates. Therefore y-axis serving as a function of x. When we use function F(x) notation then one is independent variable and another dependent variable. Due to this on Y-axis F(x) represent. Function notation