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Sketch the graph of the following functi...

Sketch the graph of the following function : (i) f(x)=|x+2| (ii) f(x)= |x-2| (iii) f(x)= x|x|. Also find its domain and range.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Define the real valued function f:R- {0} rarr R defined by f(x) = 1/x,...

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  2. Sketch the graph of the following function : f(x)= 4- 2x. Also find...

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  3. Sketch the graph of the following function : (i) f(x)=|x+2| (ii) f(x)...

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  4. Draw the graph of f(x) = sgn (x -2).

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  5. Draw the graph of y = [x] + x.

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  6. Draw the graph of the function : f(x)= {(0 if x is an even i nteg er)...

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  7. Let R be a relation from Q to Q defined by : R = {(a, b): a,b in Q and...

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  8. Let R be a relation from Q to Q defined by : R = {(a, b): a,b in Q and...

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  9. Let R be a relation from Q to Q defined by : R = {(a, b): a,b in Q and...

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  10. Let R be a relation from N to N defined by : R = {(a, b): a, b in N an...

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  11. Let R be a relation from N to N defined by R = {(a, b) : a, b in N and...

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  12. Let R be a relation from N to N defined by R = {(a, b) : a, b in N and...

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  13. The relation 'f' is defined by f(x)={(x^2,0lexle3), (3x, 3lexle10):} ...

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  14. If f(x) = loge ((1+x)/(1-x)), prove that f((2x)/(1+x^2))=2f(x).

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  15. If f (x)= (2x)/(1+x^2), prove that f (tan theta)=sin 2 theta.

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  16. If f(x) = loge x, x > 0, prove that : f (uvw) = f (u) + f (v) +f (w).

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  17. Is the function: f(x)= (x^2-8x+18)/(x^2+4x+30) one-one ?

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  18. Prove that f: (-1, 1) rarr R defined by , f(x)= {(x/(1+x),-1<x<0),(0,x...

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  19. Let f: N rarr N be defined by : f(n)= {(n+1, if n is odd),(n-1, if n ...

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  20. Let f: N uu {0} rarr N uu {0} be defined by : f(n)= {(n+1, if n is ev...

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