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A function f is defined on the set of re...

A function f is defined on the set of real numbers as follows :
`f(x)={:{(1+x,1lexlt2),(2x-1,2lexlt4),(3x-5,4lexlt6):}`
(i) Find the domain of the function.
(ii) Find the range of the function.
(iii) Find f(4).
(iv) Is the function one-one ? Justify.

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Verified by Experts

The correct Answer is:
`{2,3,5}`
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ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (f)
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  2. A function f is defined on the set of real numbers as follows : f(x)...

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  3. A function f is defined on the set of real numbers as follows : f(x)...

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  4. A function f is defined on the set of real numbers as follows : f(x)...

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  5. Let f be a function whose domain is the set of all real number. If f(x...

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  7. Write the domain of the following real functions sqrt(1-2x-3x^(2))

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  8. Write the domain of the following real functions 10^(x)

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  9. Write the domain of the following real functions (1)/(sqrt(x^(2)-7))

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  10. Write the domain of the following real functions log(2-3x)

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  11. Write the domain of the following real functions log(sqrt(x-4)+sqrt(...

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  12. The domain of the function f(x)=[log(10)((5x-x^(2))/(4))]^(1//2) is

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  13. Write the domain of the following real functions sin^(-1)[log(2)((x)...

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  14. Find the range of the function |x-3|

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  15. Find the domain and range of each of the following functions sqrt(x...

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  16. Find the range of each of the following functions cos((x)/(3))

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  17. Find the range of function (x+1)/(|x+2|)

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  18. Find the range of each of the following functions sec((pi)/(4)cos^(2...

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  19. Find the range of each of the following functions (x^(2)+x+2)/(x^(2)...

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  20. Find the range of the following functions. y=(x^(2))/(1+x^(2))

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