Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 151003: g(x)=square root 3-x
a) domain and range of function
b)sketch graph: g(x)=square root 3-x
a) domain and range of function
b)sketch graph
Answer by vleith(1156) About Me  (Show Source):
You can put this solution on YOUR website!
Domain is the set of x values that results in a real result. The square root of a negative number is not a real number. So the domain is any x whre (3 - x) >=0
Domain x <= -3
Range. sqrt of 0=0. Then as x gets more and more negative, g(x) gets larger. So the range is all numbers greater than 0
To sketch, plot several points (example where x=0 x=-6 x=-22 x=-141) then draw in a smooth curve to connect the points
graph(400,400,-100,100, -100, 100, sqrt(3-x))