Inverses and Composite 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 […]
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Category: Function
Inverse of function
Inverse of functions is an important concept . Domain values and Range values gets interchange . Due to these values of functions, continuity of function also change. Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x. Inverse of Function
Function
A function f(x) tells you what to do with the input, but, to be completely defined, function also need to know what type of input is permitted to go into the function. Function
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
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
Function and Equation
F(x) represent function. 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. Functions
Domain and Range
Domain represent value of x , while range represented by F(x) or y function. 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. Domain and range
Interpretation of trigonometric graph
Sound waves travel in a repeating wave pattern. This represent graphically by sine and cosine functions. As trigonometric function is periodic therefore it use for sound wave. Similarly we use in wheel also for model function, because of rotation of wheel. Also use of periodic conditions. trigonometric function
Transformation
In this post question are from transformation of function. It basically deals with translation of functions through vector . Also it deal with reflection . Transformation