Question 1085669: Determine the domain & range of each function.
1. f(x)=√36-4x²
domain:
range:
2. f(x)={x²-1 if x<1
1 if 1 < x
< with underline on the [second <] (< with underline on the bottom of it)
domain:
range:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Domain is all x between -3 and 3 {-3, 3}
Range is between 0 and 6. It's a function, so where y is negative is not allowed.
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if x < 1, the function goes from -1 to infinity.
if 1 < x or x>1, the function is 1.
domain is all x except x=1, (-oo, 1)U(1, oo)
range is [-1, oo). There is a hole at x=1 (1, 0) and at (1, 0); these are from if x=1 the function doesn't exist (1, 1) and x^2-1 would equal 0, but only if x=1, which is not allowed. The range is not affected, since the left side of the quadratic curve, where x is negative, will include both 0 and 1.
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