How do you write #g(x) = |2 + x| - 1# as piecewise functions?

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Jim S Share
Jan 5, 2018

Answer:

Check below.

Explanation:

If #x+2>0# , #g(x)=x+2-1=x+1#

If #x+2<0# , #g(x)=-x-2-1=-x-3#

#g(x) = {(x+1", "x> -2),(-x-3" , "x<=-2):}#

graph{|x+2|-1 [-10, 10, -5, 5]}

You can tell from the graph it's #y=x# shifted 1 point upwards and #y=-x# shifted 3 points downwards.

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