Class+Comp+and+cont+Version+2

//__Continuos Functions.__//
Difference between continuos functions and those that are not continuos, which are called discontinous functions, __was__ **were** enunciated in Bolzano’s Theorem, which postulated that if a function is continuos on an interval from //a// to //b//, when you calculate the output of //a// and //b//, then, all the possible values between f(//a//) and f(//b//) are outputs of __of__ the number inside the interval.

There is __not__ **no** classification for continuos functions, but you can compare some characteristics between some of them, like trygonometrical, polynomials, exponential and logarithmic functions.


 * = Fuctions

Characteristics. ||= Trygonometrical functions ||= Inverse trigonometrical functions ||= Polynomial Functions ||= Exponential Function ||= Logarithmic Function || -1 to 1. ||= Defined for every real number ||= Defined for every real number ||= Defined for every possitive real number || So, talking about continuos functions we know: Comm__u__n characteristics: they are defined on intervals of real numbers, they take values on intervals too, they are differentiable, and there is always a primitive for them.
 * = On which intervals are they defined? ||= Defined for every real number. ||= Defined on the interval from
 * = Which values do they take? ||= They take values between -1 and 1 ||= They take values between 0 and 2∏ ||= They take values on every real number. ||= It takes values on every real number. ||= It takes values up to -1 and over. ||
 * = Do they take a minimun/ maximun value? ||= Yes, they can take a maximun and a minimun value. ||= Yes, they take maximun and minimun values. ||= They can take max/ min values or not, depending on the polynomial. ||= It take a min or max value depending on the variable (if it is possitive or no) ||= It takes a minimun value, but does not have a maximun one. ||

Particular Characteristics: They can or can not have maxim__un__ or minim__un__ values, they can be defined over small intervals or for every real number, and sometimes there is an inverse function and sometimes there is not.