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Define the function f : R rarr R by y = ...

Define the function `f : R rarr R` by `y = f(x) = x^(4), x in R`. What is the domain and range of this function. Draw the graph of f.

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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Find the domain of the function y = (x)/(1-x^(2)).

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  2. Find the range of the function y = (x^(2) - 1)/(x-1), x != 1.

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  3. Define the function f : R rarr R by y = f(x) = x^(4), x in R. What is ...

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  4. Define the function f : R rarr R by y = f(x) = x^(5), x in R. What is...

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  5. Given the function f(x) = x^(2) + 2x + 5. Find f(-1), f(2), f(5).

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  6. Given the function f(x) = 2x + 7. Find f(0), f(5), f(7).

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  7. Find the domain and range of |x-3|.

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  8. Find the domain and range of -|x-5|.

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  9. Consider that [] represents greatest integer function. Find the valu...

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  10. Consider that [] represents greatest integer function. [(3)/(5)] + [...

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  11. Let f(x) = x^(3) + 5 and g(x) = 5x + 3 be two real functions. Find (f+...

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  12. Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (...

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  13. If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) =...

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  14. If f, g : R rarr R be defined respectively by f(x) = 8x + 7 and g(x) =...

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  15. Let f(x) = x^(3) + 6x + 9 and g(x) = x+5 be two functions. Find (f+g) ...

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  16. Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. F...

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  17. Show that the function f : R rarr R defined by f(x) = cos (5x+3) is ne...

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  18. Let A be the set of all 50 students of class XII in a central school. ...

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  19. If f: R->R be given by f(x)=s in^2x+s in^2(x+pi//3)+cosx\ cos(x+pi//3)...

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  20. Let f: RvecR and g: Rvec be two functions such that fog(x)=sinx^2a n...

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