Function
Function - 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 fuc..
Determine which of the graphs represent a quadratic function.
Determine which of the graphs represent a quadratic function. => Graph 1 and Graph 4 or Graph 1 only or Graph 1 and Graph 3 or Graph 4 only..
Find the quadratic function which has the zeros 4, - 9.
Find the quadratic function which has the zeros 4, - 9. => f ( x ) = x 2 - 5 x - 36 or f ( x ) = x 2 + 5 x - 36 or f ( x ) = x 2 + 5 x + 36 or f ( x ) = x 2 - 5 x + 36..
Determine which of the graphs shown represent a quadratic function.
Determine which of the graphs shown represent a quadratic function. => Graph 2 and Graph 3 or Graph 2 and Graph 1 or Graph 2 only or Graph 3 only..
Circular Functions
The circular functions are functions of an angle. They are important in the study of triangles and modeling periodic phenomena, among many other applications. Trigonometric functions are commonly defined as ratios of two sides of a right triangle contai..
Relations and Functions
In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number n . In all these, we notice..
Symmetric Functions
We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the ..
We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the ..Functions
The nervous system carries out the following functions i) It perceives the changes around us through our senses. ii) It controls and coordinates all the activities of the muscles in response to the changes outside. iii) It also maintains the internal environment of the body by coordinati..
Even function
A function f : A B is said to be an even function if f(x) = f(-x) for all x A. The domain and range of f depends on the definition of the function. Examples of even function are y = cosx, y = x 2 , y = secx A polynomial with only even powers of x is an even ..
A function f : A B is said to be an even function if f(x) = f(-x) for all x A. The domain and range of f depends on the definition of the function. Examples of even function are y = cosx, y = x 2 , y = secx A polynomial with only even powers of x is an even ..Function
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..
Result
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