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: Functions
Logarithmic Expression
Logarithmic Expressions are simplify by Rules or Laws of Logarithms and solve by inverse of exponentiation. It is expressed by using the abbreviation “log”. Because of different base of number log notation are also different. lg for base 10 , ln for base e . Logarithm quotient rule The logarithm of the division of x and y is the difference of logarithm of x […]
Logarithmic Expression
Solve the logarithmic equation. This problem involves the use of the symbol “ln” instead of “log” to mean logarithm. Logarithmic expression
Parabola
Vertex of a parabola is at the ‘origin’ and the axis of symmetry is along the x or y-axis, then the equation of the parabola is the simplest. So that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y – k)2= 4p (x – […]
Logarthmic Equation
Logarithms equation can be solved using the properties of logarithms. So equation either are solve by log or exponent. Because both inverse of each other hence are either way exponent or log.In both apply properties of log or exponent. Also we need to factorised to solve. Logarithmic eq
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
