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Suppose that 120 students are studying i...

Suppose that 120 students are studying in 4 sections of eleventh standard in a school. Let A denotes the set of students and B denote the set of the sections. Define a relation from A to B as "x related to y if the student x belongs to the section y". Is this relation a function ? What can you say about the inverse relation ? Explain your answer.

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FULL MARKS-SETS, RELATIONS AND FUNCTIONS-Exercise -1.3
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  2. Write the values of f at -4,1,-2,7,0 if f(x)={(-x+4,if,-ooltxlt=-3),(x...

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  3. Write the values of f at -3,5,2,-1,0 if f(x)={(x^(2)+x-5, if," "x in(-...

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  4. Find the domain of (1)/(1-2sinx).

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  5. Find the largest possible domain of the real valued function f(x) = (s...

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  6. Find the range of the function (1)/(2cosx-1).

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  7. Show that the relation xy = -2 is a function for a suitable domain. Fi...

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  8. If f,g,h are real valued function defined on R, then prove that (f+g...

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  9. If : RR to RR is defined by f(x) = 3x-5, prove that f is a bijection a...

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  10. The weight of the muscles of a man is a function of his body weight x ...

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  11. The distance of an object falling is a function of time t and can be e...

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  12. The total cost of airfare on a given route is comprised of the base co...

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  13. A salesperson whose annual earnings can be represented by the function...

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  14. The function for exchanging American dollars for Singapore Dollar on a...

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  15. The owner of a small restaurant can prepare a particular meal at a cos...

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  16. The formula for converting from Fahrenheit to Celsius temperatures is ...

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  17. A simple ciphertakes a number and codes it, using the function f(x)=3x...

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