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Functions, Limits and Continuity
Conclusion - In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate the study of domain and range of function..
Functions Limits and Continuity Conclusion
Conclusion - In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate the study of domain and range of functions.In this chapter, we have studied various types of functions and their graphs. The use of graphsh..
Representation of a Function
A function can be represented by the following methods: (i) An arrow diagram. (ii) Cartesian graph. (iii) Set-builder notatio..
Question 7
Question: Draw the graph of y=3. Answer: The graph of y = 3 is a line parallel to the x-axis. ..
Examples:
(1) 2x 2 -1 = 0 (2) x 2 -5x+7 = 0 The solution to quadratic equations can be found using various techniques. One of them being, graphs..
Functions Limits and Continuity
The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We connect the plotted p..
1)
Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represents solution..
Question 9
Question: Draw the graph of x+4=0. Answer: ..
Conclusion
Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers.Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbe..
Following are the test for Functions
(a) (i) The relation should be one-one or many-one, and (ii) Every first element is mapped which means that every pre-image should have an image. (b) For graphs: Draw a line parallel to the y-axis. If it cuts the graph only in one point, then the graph represents a fu..
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