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Given f(x) is a periodic function with p...

Given `f(x)` is a periodic function with period 2 and it is defined as
`" "f(x) = {{:([cos""(pix)/(2)]+1",",,0lt x lt 1), (2-x",",,1 le x lt 2):}`
Here `[*]` represents the greatest integer `le x`. If `f(0)=1`, then draw the graph of the function for `x in [-2, 2]`.

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`f(x)= {{:([cos""(pix)/(2)]+1",",, 0 lt x lt 1), (2-x",",, 1 le x lt 2):}`
`" "= {{:(1",",, 0lt x lt 1), (2-x",",,1le x lt 2):}`

Since the function if periodic with period '2', the required graph for `x in [-2, 1]` is as follows.
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CENGAGE-GRAPHS OF ELEMENTARY FUNCTIONS -Exercise
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  2. Find the set of real value(s) of a for which the equation |2x+3|+2x-3|...

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  3. Draw the graph of y=|x|.

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  4. Draw the graph of y=1/(log(e)x)

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  5. Find the number of real solutions to the equation log(0.5)x=|x|.

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  6. Draw the graph of f(x)= x+ [x], where [*] denotes the greatest integer...

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  7. Given f(x) is a periodic function with period 2 and it is defined as ...

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  8. Sketch the region of relation [x] + [y] = 5, x, y ge 0, where [*] deno...

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  9. Draw the graph of y= 2^({x}), where {*} represents the fractional par...

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  10. Let f(x) = ([x]+1)/({x}+1) for f: [0, (5)/(2) ) to ((1)/(2) , 3], whe...

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  11. Draw the graph of y= 2^({x}), where {*} represents the fractional par...

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  12. Find tha area of the region containing the points (x, y) satisfying 4...

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  13. Draw the graph of y= sqrt (x^(2)-1)

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  14. Draw the graph of y=|x|^(1/2) for -1lt=x<1.

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  15. Draw the graph of f(x) = "sgn"(log (e) x).

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  16. Draw the graph of y= x-sinx

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  17. Draw the graph of the function y= f(x) = lim(n to oo) (x^(2n)-1)/(x^(...

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  18. An even periodic function f:R to R with period 4 is such that f(x)=...

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  19. IF the domain of the function f(x) =x^2 -6x +7 is (-oo , oo) th...

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  20. Solve sin^(-1)xlecos^(-1)x graphically. Check the differentiability of...

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