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Draw the graph of the function: f(x) = {...

Draw the graph of the function: `f(x) = {(x," if " x le 0),(x^(2)," if " 0 lt x le 2),(x," if " x gt 2):}`

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. Find the domain of the function: f(x) = (x^(2) + 3x+5)/(x^(2) -5x+4)

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  2. Which of the following functions are odd or even or neither: (i) f(x...

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  3. The period of x-[x] where [x] represents the integral part of x is

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  4. Solve: [2x-3]=5

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  5. Let f and g be two functions defined by: f(x) = sqrt(x-1) and g(x) = s...

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  6. The domain of the function f(x)=(sin^(-1)x)/([x]) is (where is greates...

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  7. Define the function f : R -> R by y = f(x) = x^2 , x in R . ...

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  8. Draw the graph of the function: f: R rarr R defined by f(x) = x^(3), x...

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  9. Let R be the set of real numbers. Define a real function f: R rarr R "...

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  10. फलन f, f(x) = {(1-x"," x lt 0),(1","x = 0),(x +1"," x gt 0):} द्वारा प...

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  11. Draw the graph of the function: 1-x

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  12. Draw the graph of the function: f(x) = {(x," if " x le 0),(x^(2)," if ...

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  13. Draw the graph of the function: f(x) = |1-x| + |1+x|, -2 le x le 2

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  14. If A= {2,4,6,9} and B= {4,6,18, 27, 54}, a in A, b in B, find the set ...

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  15. Find the domain and range of the function f given by f(x) = x^2/(1...

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  16. Is the following relation a function ? Justify your answer: (i) R(1)...

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

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  18. Find the domain of the function: f(x) = [x] +x

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  19. Find the range of the function: f(x) = (|x-4|)/(x-4)

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  20. Find the domain of the function f given by f(x)=1/(sqrt([x]^2-[x]-6))

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