CLASSES OF MATHEMATICAL FUNCTIONS

CLASSES OF MATHEMATICAL FUNCTIONS

1. They divide in three functions

   • Polinomial functions
     • Linear functions: It is a function of the form f (x) = mx + b, where m is the slope and b is the abscissa where the straight line intercepts to the axis. The graph that originates is a straight line, if m is positive the straight line he inclines towards the right and if m is negative the straight line he inclines towards the left side.
       • Constant function: It is a function of the form f (x) = k, where k is a constant. The graph that originates is a straight line parallel to the axis x. The domain of the constant function they are all the royal numbers and the range is an unitary set formed by the element image of all the elements of the domain.
         • Quadratic function: It is a function of the form f (x) = ax2 + bx +c, where to, b, c and they are royal numbers. The graph of the quadratic function is a curve called parable; if to it is positive, the graph opens up and if to it is negative the graph opens down. The algebraic equation has 2 at the maximum exponent of the variable.
           • Polinomial function: A Polinominal function is of the form f(x) = anxn+an-1xn-1+…+a where an,an-1, a they are royal constants and n is an entire not negative number that indicates the degree of p(x), Providing that an≠0.
   • Special functions
     • Function absolute value: It is of the form f (x) = IxI, whose domain it are the royal ones and the range are royal major or equal to zero. The graph that is obtained is a curve in the shape of v.
       • Function square root: It is a function that assigns to an argument his square positive root. It is of the form f (x) = vx, where the domain of the function they are the values of x that do that taking root be positive and the range they are royal major or equal to zero. The graph that is obtained is an ascending curve that is over the axis x.
         • Rational function: Is it a function of the form f (x) = p (x)/q (x), where p (x) and q (x) are polynomials and q (x)? 0. The rational function is not defined for values of x in which q (x) it is played the role different from zero, this value on having represented it graphically is an asymptote. The graph that is obtained they are curves interrupted by the asymptote.
   • Transcendental functions
     • Logarithmic function: It is an inverse function to the exponential function, is of the form f (x) = logax, where a> or and to? 1. The graph that is obtained is a symmetrical curve to the exponential function.
       • Trigonometrical function: The trigonometrical functions arise of the triangle studies rectangle and to observe that the reasons (quotients) between the lengths of two any sides depend on the value of the angles of the triangle. There are distinguished six types of trigonometrical functions, Which each of them has his domain, range, period and his graph is different, since they are:

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