What really are intervals in respect to functions ? As defined they

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SUMMARY

Intervals in mathematics are defined as subsets of real numbers, specifically between two numbers a and b, where a < b. These intervals can be classified as inclusive or exclusive, leading to four distinct types of intervals. The utility of intervals in functions is crucial, as they define the domain of a function; for example, a function defined over the interval [a, b] indicates that the variable can only take values within this range. Any value outside this interval renders the function non-existent.

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  • Understanding of real numbers and their properties
  • Basic knowledge of functions and their domains
  • Familiarity with interval notation, including inclusive and exclusive limits
  • Concept of subsets in set theory
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  • Learn about different types of functions and how their domains are defined
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What really are intervals in respect to functions ? As defined they are subsets of real numbers, for example, two numbers a,b belonging to R and a<b, so with that we can make out four intervals or sets with some variable x and treating a and b are inclusive or exclusive limits and also some infinite intervals :\. How does that have any utility with functions and what are these variables a and b for ? Please someone elaborate on this ?
 
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That means that the domain or the value the variable can take is defined from that set. Eg- If I define a set over [a,b], it means the variable involved can take its value from a to b both inclusive only. For any other number out of this set, the function does not exist.
 


Akshay_Anti said:
That means that the domain or the value the variable can take is defined from that set. Eg- If I define a set over [a,b], it means the variable involved can take its value from a to b both inclusive only. For any other number out of this set, the function does not exist.

Thanks You .
 

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