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Let f : x to Y be a function defined by `f(x) = x^2 + 1` for all `x in X` where X = {-1,0,1,2,3} and Y = {1,2,5,10,11}. If A = { -1,0,2} and B = {1,2,3}. Verify that `f(A cap B) ne f (A) cap f (B)`

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A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
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  3. Let f : x to Y be a function defined by f(x) = x^2 + 1 for all x in X ...

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  6. Draw the graph of the function f(x) = (x^2 - 4)/(x +2)

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  7. Find the domain and the range of the functions f(x) = 1/(2x-1)

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  8. Find the domain and the range of the functions f(x) = x^3

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  9. Let f(x) = x^2 - 2x + 3. Then find f (f (x) )

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  10. If f (x) =1/(1 - x) , show that f(f(f(x))) = x

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  14. If f(x)=x^2, find (f(1.1)-f(1))/((1.1-1))

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  15. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

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  16. Find the domain and range of the following functions. f(x)=sqrt(x-...

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  17. Find the domain and the range of the real function f defined by f (x) ...

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  18. Let f={(x,x^2/(1+x^2)),x in R} be a real function from R to R. Deter...

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