Question 85287: Determine if each of the following is a relation or a function. Tell me why and give me the domain and range of each one.
a. (0,1) (4,1) (6,2) (2,0)
b. (1,2) (3,1) (1,3) (2,0)
c. y = 5
d. y = 6 _
2x -1
e. note that these curves extend to infinity at each
Answer by scianci(186)   (Show Source):
You can put this solution on YOUR website! a is a relation and a function since all of the x-coordinates are different. The domain is {1,4,6 and 2} and the range is {1,1,2 and 0}
b is a relation, not a function, since two ordered pairs have the same x-coordinate ; (1 , 2) and (1 , 3). The domain is {1 , 3 and 2} and the range is {2,1,3 and 0}
c is a relation and a function since every x-coordinate is mapped uniquely on to the y-value of 5. The domain is {all real numbers} and the range is {5}
d is a function and a relation, since each x-value maps on to one unique y-value. The domain is {all real numbers except 1/2} [if x = 1/2, you get a 0 denominator which can't be] and the range is {all real numbers except 0} [the denominator cant ever be 0 and the numerator is always 6, so the expression  will never have the value 0]
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