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An even periodic function f:R to R with...

An even periodic function `f:R to R ` with period 4 is such that
`f(x)={{:(max.(|x|, x^(2))",",, 0lex lt1), (x",",,1le xle 2):}`. Then draw the graph of `y= f(x)` for `x in R`

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We have `f(x) = {{:(max. (|x|, x^(2))",",,0lexlt1), (x",",, 1le x le 2):}`
Graph of `y= f(x)` for `x in [0, 2]` is as follows.

Now the function is even, so the graph of `y=f(x) ` for `[-2, 2]` is as follows.

Further, the function is periodic with period `'4'`, so the graph of `y= f(x)`, for `x in R` is as follows.
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CENGAGE-GRAPHS OF ELEMENTARY FUNCTIONS -Exercise
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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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  15. Draw the graph of f(x) = "sgn"(log (e) x).

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