Given the piecewise function #y = { sqrt(-x), -4 ≤ x ≤ 0, sqrtx ,0 < x ≤ 4#, how do you find the domain?

1 Answer
Alan P.
Nov 10, 2015

The Domain is the set of all values of #x# fro which the function is defined; in this case the domain is #[-4,+4]#

Explanation:

Given
#color(white)("XX")y = {(sqrt(-x)" for "-4 <= x <=0), (sqrt(x)" for "0 < x <=4)}#

The first element of this set definition defines the function for all values of #x in [-4,0]#

The second element in this set definition defines the function for all values of #x in (0,+4]#

Togheter they define the function for all values of #x in [-4,+4]#

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