algebra 2 quadratic function

. A quadratic equation has exactly two roots. For the quadratic equations, we have i) b 2 - 4ac > 0 Roots are real and distinctii) b 2 - 4ac = 0 Roots are real and equaliii) b 2 - 4ac < 0 Roots are imaginary and distinct If the roots..

Any expression f( a , b ) involving two numbers a and b is said to be symmetric if it remains unchanged when a and b are interchanged. [i.e. if f( a , b ) = f( b , a )]. Some of the symmetric functions of a and b are All symmetric functions of a and b can be expressed ..

Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..

A root of the equation f(x) = 0 is that value or values of x which make f(x) = 0. In other words, x = a or x = b are said to be the root of f(x) = 0, if f( a ) = 0, and f( b ) = 0 i.e., in f(x) = 0, replace x either by a or by b ..

Type 1 - Equations of the form In such equations, put x n = t then the equation reduces to at 2 + bt + c = 0. Solve for t and then obtain the value of ..

>Therefore their corresponding terms must be identical. i.e., coefficient of x 2 =..

Let f:AgB and g:AgB be two functions. Thus the composition of two functions f and g denoted by gof or fog is the function from A into C defined by gof = {(a,b) for some c B, (a,c) f and (c,b) g..

Let A and B be two non-empty sets.Let A and B be two non-empty sets. A function f from A to B is an association of every element of A to an unique element in B. We write this as f : A g B. A is called the domain. B is called the co-doma..

We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a fuction. In..

Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements have a common first element and (ii) eve..