How do you find the domain and range of h(x)=-sqrt(x+3)?

1 Answer
Jim G.
Jan 22, 2018

[-3,+oo)" and "[0,-oo)

Explanation:

x+3>=0

rArrx>=-3

rArr"domain is "x inRR,x>=-3

rArr[-3,+oo)larrcolor(blue)"in interval notation"

sqrt(x+3)" has a range "[0,+oo)

"but "-sqrt(x+3)" is "sqrt(x+3)" reflected in the x-axis"

rArr"range is "[0,-oo)
graph{-sqrt(x+3) [-10, 10, -5, 5]}

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