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Mark as true (T) or false (F). The funct...

Mark as true (T) or false (F). The function `f:RrightarrowR` defined by `f(x)=sinx` is bijective.

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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
  1. Compute the following remainder function. r6(-500)

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  2. Mark as true (T) or false (F). The function f:Rrightarrow[-1,1] define...

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  3. Mark as true (T) or false (F). The function f:RrightarrowR defined by ...

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  4. Mark as true (T) or false (F). The greatest integer function is not on...

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  5. Mark as true (T) or false (F). The identity function is an odd functio...

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  6. Mark as true (T) or false (F). Let f:RrightarrowR is defined by f(x)=x...

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  7. Mark as true (T) or false (F). Let absA=3,absB=5. Then the number of o...

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  8. Mark as true (T) or false (F). If absA=5,absB=2, then the number of on...

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  9. Let f(x)=x^2 and g(x)=sqrtx. Then find (gof)(4).

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  10. Find a linear function f which maps [-1,1] onto [0,2].

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  11. Find the range of the function f(x)=frac[1][2-sin3x]

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  12. If A={a,b,c} and B={1,2}, then find all functions from A to B. How man...

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  13. If A={a,b,c} and B={1,2}, then find all functions from A to B. How man...

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  14. If A={a,b,c} and B={1,2}, then find all functions from A to B. How man...

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  15. Give an example of a function which is onto but not one-one.

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  16. Give an example of a function which is one-one but not onto.

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  17. Give an example of a function which is neither one-one nor onto

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  18. Give an example of a function which is onto but not one-one.

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  19. If f and g are even functions, what can you say about fog?

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  20. Fill in the blanks choosing correct answer from the brackets. If sin(c...

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