Features

Features

1. Concept

   • A function is a relationship between two variables, in such a way that at each value of the independent variable X, associates a single value of the dependent variable Y
     • First the domain of f is the whole set X and second every element of X appears in a y only in a pair of f like first element.
   • Can be expressed in algebraic terms
     • f: A → B
       • a → f(a) -
   • It is made up of
     • Domain
     • Rank

2. Y=F(x)

3. Formed by variable

   • Dependents
   • Independent

4. Graph construction and analysis

   • To construct the graph of a given function we will use a table of values ​​with 5 values for the independent variable X, which will be replaced in the function and thus be able complete the pair P (x, y) that we are going to graph in the Cartesian plane.
     • In the analysis of the graph we must take into account the type of function, the graph that we find and mention the domain (which is related to the variable X), the range (which is relates to the variable y).

5. Classification

   • Features
     • Features Algebraic
       • Constant
         • It is a function of the form f (x) = C, where C is a constant. C belongs to the reals
       • Line
         • It is a function of the form f (x) = mx + b, where m is the slope and b is the abscissa where the line intersects or intersects the Y axis.
       • Polynominal
         • The polynomial function is called if because generally its algebraic expression is a polynomial; its general form is: f (x) = anX ^ n + an1 - 1X ^ n - 1 + an - 2X ^ n - 2 + ... + a1 + a0
       • Cubic
         • A cubic function is a polynomial function of degree 3. It can be written in the form f (x) = ax 3 + bx 2 + cx + d
       • Irrational
         • An irrational function is a function in whose analytic expression the variable Independent X appears below the root symbol.
       • Quadratic
         • It is a function of the form f (x) = ax2 + bx + c, where a, b, c and are numbers real, different from 0.
       • Identity
         • It is a function of the form f (x) = X, where the graph passes through the origin of the Cartesian plane.
       • Rational
         • Una función racional debe haber una variable en el denominador. La forma general de una función racional es , donde p ( x ) y q ( x ) son polinomios y q ( x ) ≠ 0.
     • Features Transcendent
       • Trigonometric
         • They are commonly defined as the quotient between two sides of a triangle rectangle associated with its angle
       • Exponential
         • They are characterized only by the fact that the rate of growth of this function (that is, its derivative) is directly proportional to the value of the function.
       • Logarithmics
         • A logarithmic function is one that is generically expressed as f (x) == logax