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Draw the graph of the greatest integer f...

Draw the graph of the greatest integer function:
`f:RtoR:f(x)={x} "for all "x""inR`.

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Draw the graph of the smallest integer function f:RtoR:f(x)=[x]" for all "x""inR .

Draw the graph of the identity function f:RtoR:f(x)=x for all x""inR .

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Draw the graph of the following function. f(2x)

Draw the graph of the following function. f(-x)

Draw the graph of the following function. 2f(x)

draw the graph of f(x)=x+[x.] denotes greatest integer function.

Draw the graph of each of the following constant functions: (i) f(x)=2 for all x""inR (ii) f(x)=0 for all x""inR (iii)f(x)=-2 for all x""inR

Find the domain and the range of the cube root function, f:R^(+)uu{0}toR:f(x)=x^(1//3)" for all "x""inR . Also, draw its graph.

CBSE COMPLEMENTARY MATERIAL-REALATION AND FUNCTIONS -SHORT ANSWER TYPE QUESTIONS (4 MARKS)
  1. Let f(x)={: (x^2 ,"when" 0 le x le 2),(2x , "when" 2 le x le 5) :} ...

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  2. Find the domain and range of, f(x) = |2x-3|-3

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  3. Draw the graph of the greatest integer function: f:RtoR:f(x)={x} "fo...

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  4. Draw the graph of the constant function f:Rrarr R , f(x)=2forallx in R...

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  5. Draw the grapgh of the function |x-2|

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  6. Find the domain and range of real function ,f(x)=sqrt(x^2 +4)

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  7. Find the domain and range of real function ,f(x)=(x+1)/(x-2)

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  8. Find the domain and range of real function ,f(x)=|x+1|/(x+1)

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  9. Find the domain and range of the function f(x)=(x^(2)-9)/(x-3)

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  10. Find the domain and range of real function ,f(x)=(4-x)/(x-4)

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  11. Find the domain and range of real function ,f(x)=1-|x-3|

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  12. Determine a quadratic function (f) is defined by f(x)=ax^2 +bx+c . If ...

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  13. Draw the graph of the function

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  14. Draw the graph of the signum function f(x)={{:(|x|/x, " when ", x ne0)...

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  15. Find the domain of f(x)=1/(sqrt(x+|x|))

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  16. Find the domain of f(x)=1/(sqrt(x-|x|))

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  17. Find the domain of f(x)=1/sqrt(x^2 -x -6)

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  18. Find domain of f(x)=(1)/(sqrt(9-x^(2)))

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  19. Find the domain of f(x) =sqrt(4-x) +1/sqrt(x^2 -1)

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  20. For which Domain, the functions f(x) = 2x^2-1 and g(x)=1-3x are equal ...

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