For each value of x in the domain, there is one corresponding value of y.
- The relation is a function.
The range is from 3(-3)-4 = -13 to 3(4)-4 = 8.
- Range: -13 ≤ y ≤ 8
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The volume is the scalar triple product of the direction vectors from the first point to the others. That is computed as the magnitude of the determinant of the matrix of vector values.
a = (-1, -12, 4) - (5, -5, -1) = (-6, -7, 5)
b = (11, -9, -3) - (5, -5, -1) = (6, -4, -2)
c = (0, 2, -3) - (5, -5, -1) = (-5, 7, -2)
Then |(a×b)•c| is
The volume is 176 cubic units.