Straight line graphs. The graph of each of equations is a straight line: If an equation can be rearranged into the form y = mx +c, then its graph will be a straight line. ax +by= c can be rearranged as (which can be re-written as y = mx+c). Therefore vertical lines have equations have slope undefined form x =k . Hence graph depend on […]
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Category: Functions and Equations
Normal Distribution
A standard Normal Distribution graph is “Bell Curve”.The standard normal distribution has two parameters: mean and standard deviation. Hence it use for continuous random variable as well as it use for continuous values. Due to continuous values we use area under the curve for calculating probability. Normal
Absolute Equation
Solving absolute value equations and inequalities. And represents the distance between a and 0 on a number line. An absolute value equation is an equation that contains an absolute value expression. Has two solutions x = a and x = -a because both numbers are at the distance a from 0. Absolute Equation
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) , […]
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
Co-ordinate geometry -2
Ordered pair of numbers also known as coordinates. 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
Completing Square
Completing the Square is to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. Completing the square is a technique for converting a quadratic polynomial of the form ax2 + bx + c to a(x-b)2+c. Hence this method is used to convert. Similarly […]
Logarithmic and exponential Function
The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. […]
