Find the range of the function F(x) = 5 - |x+8|


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when x>-8 , |x+8| will open with a positive sign
f(x) = 5 - (x+8)
f(x) = -(x+3)
at x=-8 , f(x) = 5 and if x>-8 f(x) decreases
If x<-8 , |x+8| will open with a negative sign
f(x) = 5 + (x+8) = x+13
f(x) = x+13
at x=-8 function takes value as 5 and if x<-8 the function decreases
so range is (-inf,5]


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