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"Let "f(x) ={ underset( x^(2) +8 " "."...

`"Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0).` Equation of tangent line touching both branches of `y=f(x)` is

A

`y= 4x+1`

B

`y=4x+4`

C

`y=x+4`

D

`y=x+1`

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The correct Answer is:
B
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