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. […]
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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
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
Rational and Reciprocal functions
A rational functions is a function of the form f(x)=p(x)/q(x), where p(x) and q(x) are polynomials and q(x)≠0 ,q(x)≠0 . The domain of a rational function consists of all the real numbers x=0 except those for which the denominator is x= 0 . reciprocal for a number x, denoted by 1/x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1.. The […]
Sketching curve
This post about the sketching of curve though coordinate of turning and axes intercepts . So equation of the curve is given. Curve sketching
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
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
