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

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

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`y = |x-3|`
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Given the function f(x) = x^(2) + 2x + 5. Find f(-1), f(2), f(5).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If f : [0, oo) rarr [2, oo) be defined by f(x) = x^(2) + 2, AA xx in R...

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  18. Let f: N->R be a function defined as f(x)=4x^2+12 x+15. Show that f: N...

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  19. If ** be a binary operation on N (the setof natural numbers) defined b...

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  20. Let A = {1, 2, 3}. Find the number of binary operations on A.

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