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Let f:N to N be defined by f(n)={{:((n+1...

Let `f:N to N` be defined by `f(n)={{:((n+1)/2, " if n is odd"),(n/2, "if n is even"):}` for all `n in N`.
Prove that f is many-one, onto function.

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ICSE-RELATIONS AND FUNCTIONS-EXERCISE 2 (g)
  1. Let f:N to N be defined by f(n)={{:((n+1)/2, " if n is odd"),(n/2, "if...

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  2. Draw the graph of function. y=(1)/(|x|)

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  3. draw the graph of function. y=(|x|-x)/(2)

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  4. Draw the graph of function. y=(1)/(|x|)

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  5. Draw the graph of function. y=|4-x^(2)|,-3lexle3.

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  6. Graph each function. y=|x|+x,-2lexle2

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  7. Graph function. y=|x+2|+x

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  8. Copy and complete this table of values :

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  9. Draw the graph y=3^(x) on squared paper, for -2lexle3.

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  10. What features do the graphs of y=2^(x) and y=3^(x) have in common?

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  11. Draw the graphs y=2^(x) and y=((1)/(2))^(x), on the same diagram, for ...

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  12. In the graph of y= 2^(x) and y= (1/2)^(x) Which line is the axis of sy...

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  13. A sketch of the graph y=alog(4)(x+b) is shown. Find the values of a an...

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  14. Diagram (i) shows the curve y=log(a)x. What is the value of a? .

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  15. Diagram (ii) shows the curve y=log(10)(x+p). What is the value of p?

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  16. Sketch the graphs y=2 and y=log(10)2x on the same diagram.

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  17. Find the point of intersection of the graphs by solving the equation l...

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  18. The sketch shows part of the graph y=alog(2)(x-b). Find the values of ...

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  19. Sketch the graphs y=4-x and y=log(10)x on the same diagram.

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  20. (i)sketch the graph y=4-x and y= log(10)x on same graph . (ii) write...

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  21. Sketch the graphs y=4-x and y=log(10)x on the same diagram.

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