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
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Category: Function
Transformation of function
Graph transformation is the process by which an existing graph. Transformation is four types . Transformations of Graphs … For the base function f (x) and a constant k, the function given by. g (x) = f (x) + k;. can be sketched by shifting f (x) k units vertically. similarly g(x) = kf(x) , […]
Function (Inverse and composition)
Composite functions and functional equations Composite functions Composition of two functions occurs when the output of one function becomes the input for a second function. Suppose f(x) = x2 and g(x) = 3x − 1. The composite functionf ˛g(x) = f (g(x)) Composite function
Co-ordinate geometry-1
Coordinate also called ordered pair. Hence manipulation of coordinate such as Determine the distance between these points. Find the equation, midpoint, and slope of the line segment. Determine if the given lines are perpendicular or parallel. Also deal with graphic representation. Coordinate geometry
Composite Function
Composite functions are defined as one function defined inside another function. Like ff(x)) or f(g(x)) etc. Another function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)) Composite function
Inverse of Function
Inverse of functions are 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 functions 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
Rules of Transformation
In this post question are from transformations of function. It basically deals with translation of functions through vector . Also it deal with reflection. Transformation
