Functions that behave differently based on the input (x) value. Piecewise Function. A function made up of 3 pieces as well as two pieces. Hence in some case piecewise function give discontinuous graph. Piecewise
Logarithmic Equation
A logarithmic equation involves the logarithm.Hence these equation are solve by exponent and algebraic method. Further we also use properties of logarithm. Logarithmic Eq
Average and Instantaneous rate of change
Average rate of change of a function f(x) on an interval [a,b] is the slope of the secant line . The instantaneous rate of change of f(x) at x=a is the slope of the tangent line. Therefore the slope of the line measures the average rate of change of the function and can be found from any two points on […]
Algebraic Inequality-Lecture-6
Inequalities are used to compare the relative size of values. In the two types of strict inequalities, aa is not equal to bb. To compare the size of the values, there are two types of relations: The notation a<ba<b means that aa is less than bb. The notation a>ba>b means that aa is greater than […]
Solving A Linear Equation-Lecture-5
A linear equation is any equation that can be written in the form : ax+b=0 If a=ba=b then a+c=b+ca+c=b+c for any cc. All this is saying is that we can add a number, cc, to both sides of the equation and not change the equation. If a=ba=b then a−c=b−ca−c=b−c for any cc. As with the […]
SOLVING A SYSTEM OF EQUATIONS-Lecture-4
A System of Linear Equations is when we have two or more linear equations working together. System of equation
Limit
If x is approaching one of the transition points of the function, then you have to check both limit. Limit for Piecewise function
Limit
Limits of algebraic function when variable tends to finite value. In essence, we shall be using following three techniques. Algebraic limit
Algebraic Equation-Lecture-3
An equation obtained by equating to zero. Therefore zeros give solution. So an equation is like a statement “this equals Algebraic equation
Algebraic Expression (Evaluate One Varia...
Evaluate one variable in terms of another . Hence subject change is a variable which is expressed in terms of other variables involved in the formula. An algebraic expression having one or more terms with non-negative … 3y and 4y2 are unlike terms because they have different variable parts. In solving for variables there are […]
