# Pt1420 Unit 6

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Question #1: What are real numbers? What are the stages in the development of the real number? What is the concept behind division by zero? Answer#1: Real numbers: Real numbers are those numbers which incorporates all the rational and irrational numbers, real numbers are the numbers on a real line which is (- ∞,+∞) or we can say that a real number is any component of the set R, Where R = Q U {0} U Q’ In this expression Q and Q ' indicated to rational and irrational numbers respectively, irrational numbers are those numbers that can 't be composed as a simple fraction. Development of real numbers: The advancement of real numbers begins from the time of classical Greek arithmetic, however in late eighteenth century the second time of…show more content…
Question #2: What are intervals? What are inequalities? What do we mean by absolute value? Answer#2: Intervals: An interim is all the number that lie between two given numbers. We characterize the points of confinement of an interim by utilizing diverse sorts of parentheses and notations which demonstrates the barring and including of numbers. Inequality: Inequality lets us know about the relative size of two qualities. When we need to realize that something is greater or littler then we utilize inequalities. Absolute value: All the values which could not expressed in negative conditions and we have to convert it into positive like (area, volume and distance etc) are called absolute value, or we can say absolute value is the modulus. Question #3: What are functions? How many types of functions are there? What is domain and when do we say that a domain is its natural domain? What do we mean by piece wise functions? Identify as many techniques as possible for finding the range of the function? Answer#3:…show more content…
A function has three sections the input, relationship and output. e.g. input is a number = 4 relationship is a condition = *2 Output is the value= 8 /*these three steps shows a function.*/ There are numerous types of functions and every type has its own particular diagram. The eight most commonly utilized graphs are linear, power, quadratic, polynomial, rational exponential, logarithmic, and sinusoidal. Domain and Natural Domain: Each function has a domain, the arrangement of (input) values over which it is characterized. In the event that I don 't state what the domain is, by tradition we take the domain to be all (real) numbers for which the expression characterizing the function can be evaluated. We call this the "natural domain" of the function. Piecewise Function: A function that acts differently in view of the input value, a function made up of pieces or a function which is characterized by multiple sub functions, every sub function is for sure interim of the primary function are called piece wise function. e.g. { - 9 x + 4 for x < 2 f(x) = x - 4 for x 2 Techniques for finding the