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If A={a,b,c} and B={1,2}, then find all ...

If `A={a,b,c}` and `B={1,2}`, then find all functions from A to B. How many of these are surjective?

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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
  1. Find a linear function f which maps [-1,1] onto [0,2].

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

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

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

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

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

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

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

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

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

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

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  12. Fill in the blanks choosing correct answer from the brackets. If x^(-1...

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  13. Fill in the blanks choosing correct answer from the brackets. The prin...

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  14. tan^(-1)2+tan^(-1)3 = (-frac[pi][4],frac[3pi][4],frac[pi][4])

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  15. Fill in the blank choosing correct answer from the brackets if the val...

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  16. Find the value of the following: sin(sin^(-1)frac[1][2]+cos^(-1)frac[1...

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  17. If sin^(-1)frac[1][3]=A, find cosA

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  18. Express the value of the following in simplest form. "tan"{1/(2)"sin...

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  19. Fill up the blanks. sin^(-)(sinfrac[2pi][3])=

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  20. Fill up the blanks. tan^(-1)(tanfrac[3pi][4]) =

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