Need help with Graphing Square Root Functions.
Don't really understand how to do this lol
what's a DOMAIN?
Set of values
what's a RANGE?
Set of all possible output values. Domain is usually for x and Range is usually for y
so, would it be fair to say in => y=2x, if x={1,2,3} <- is the DOMAIN and y would be {2,4,6} respectively <- is the RANGE?
Yeah. 2 x 1 = 2, 2x2 = 4, 2x3 = 6
though rereading your question and looking at the picture you have there, I see nothing in there saying anything about graphing them :)
to do these problems, you should remember this DO NOT TAKE ROOTS OF NEGATIVE NUMBERS. that means in the first problem 3x+4 ≥ 0 solve for x to find what x values (what domain) is allowed.
in the case of \( y=2\boldsymbol{\sqrt{3x+4}}-5 \), as @phi already pointed out, the only thing you'd need to keep an eye, is that the root doesn't turn negative, otherwise is an "imaginary" value
so you'd need to bear in mind --> What values can X take, that will not turn the root to a negative number? <-- if the root turns "0", that's ok, because \(\sqrt{0}=0\)
so, that's more or less what they're asking
the 2nd question trhere is more or less the same matter
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