Explanation: Horizontal lines are functions that have a range that is a single value. **Vertical lines** are not functions. The equations y=±√x and x2+y2=9 are examples of non-functions because there is at least one x-value with two or more y-values.

A function **relates an input to an output**. It is like a machine that has an input and an output. And the output is related somehow to the input. f(x) "f(x) = " is the classic way of writing a function.

function, in mathematics, **an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)**. Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Explanation: Horizontal lines are functions that have a range that is a single value. **Vertical lines** are not functions. The equations y=±√x and x2+y2=9 are examples of non-functions because there is at least one x-value with two or more y-values.

**The various types of functions are as follows:**

- Many to one function.
- One to one function.
- Onto function.
- One and onto function.
- Constant function.
- Identity function.
- Quadratic function.
- Polynomial function.

A function is **a relation in which each input has only one output**. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

An overloaded function is really just **a set of different functions that happen to have the same name**. The determination of which function to use for a particular call is resolved at compile time. In Java, function overloading is also known as compile-time polymorphism and static polymorphism.

Trigonometric functions allow us to use angle measures, in radians or degrees, to find the coordinates of a point on any circle—not only on a unit circle—or to find an angle given a point on a circle. They also define the relationship among the sides and angles of a triangle.

At the most fundamental level, management is a discipline that consists of a set of five general functions: **planning, organizing, staffing, leading and controlling**. These five functions are part of a body of practices and theories on how to be a successful manager.

"All students take calculus" (i.e. ASTC) is **a mnemonic device that serves to help you evaluate trigonometric ratios**. Unlike your standard trigonometry formula that may rely on brute memorization, a mnemonic device, or memory aid, is a lot more helpful as a tool to help you recollect easily and efficiently.

Most soil contains three types of particles: **sand, silt, and clay**.

We can define a function as **a special relation which maps each element of set A with one and only one element of set B**. Both the sets A and B must be non-empty. A function defines a particular output for a particular input.

**If every element of a set A is related with one and only one element of another set** then this kind of relation qualifies as a function. A function is a special case of relation where no two ordered pairs can have the same first element. This notation f:X→Y denotes that f is a function from X to Y.

The trigonometry formulas for trigonometry ratios when the angles are in addition are given as, sin(x + y) = sin(x)cos(y) + cos(x)sin(y) cos(x + y) = cos(x)cos(y) - sin(x)sin(y) tan(x + y) = (tan x + tan y)/(1 - tan x • tan y)

Addition and Subtraction

Two 'pluses' make a plus, two 'minuses' make a plus. **A plus and a minus make a minus**.

Consider a line segment OA from the center of the circle O to a point A on the circumference of the circle, forming an angle with the horizontal axis OD. The sine of is the vertical height AC of the point A above the horizontal axis OD. It is then obvious by inspection that the sine of 90 degrees is 1.

What are the six trigonometric functions? The six trigonometric functions are **Sine, Cosine, Tangent, Secant, Cosecant and Cotangent**.

noun. **an existing connection; a significant association between or among things**: the relation between cause and effect. relations, the various connections between peoples, countries, etc.: foreign relations. the various connections in which persons are brought together: business and social relations.

They include: **planning, organizing, leading, and controlling**. You should think about the four functions as a process, where each step builds on the others. Managers must first plan, then organize according to that plan, lead others to work towards the plan, and finally evaluate the effectiveness of the plan.

**Terms in this set (4)**

- Planning. anticipating trends and determining the best strategies and tasks to achieve organizational goals and objectives.
- Leading.
- Organizing.
- Controlling.

Originally identified by Henri Fayol as five elements, there are now four commonly accepted functions of management that encompass these necessary skills: **planning, organizing, leading, and controlling**.

Dated : 12-Jun-2022

Category : Education