What is the domain and range of f(x)= sqrt(x+2) - 3f(x)=√x+2−3??

1 Answer
Jim G.
Mar 21, 2018

[-2,+oo),[-3,+oo)[−2,+∞),[−3,+∞)

Explanation:

"the domain is determined by the radical"the domain is determined by the radical

"that is "x+2>=0rArrx>=-2that is x+2≥0⇒x≥−2

"domain is "[-2,+oo)larrcolor(blue)"in interval notation"domain is [−2,+∞)←in interval notation

f(-2)=0-3=-3rArr(-2,-3)" is minimum"f(−2)=0−3=−3⇒(−2,−3) is minimum

rArr"range is "[-3,+oo)⇒range is [−3,+∞)
graph{sqrt(x+2)-3 [-10, 10, -5, 5]}

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