Which relation is not a function? {(3,-,-,,8)} {(1,-,,5)(6,-3)} {(1, -,,,-2)} {(28)}

answer:

d

step-by-step explanation:

a. not a function since x = 8 repeats. we have x = 8 pair up with y = 3 and y = 7 at the same time.

b. not a function for similar reasons. now x = 2 repeats. we have x = 2 pair up with y = -3 and y = 7

c. not a function. we have x = -3 pair up with both y = 6 and y = 9 at the same time.

d. this is a function. each x value is listed once and only once. any input (x) leads to exactly one output (y). for choices a through c, it is possible to draw a vertical line through more than one point, thereby failing the vertical line test. in choice d, it is not possible to draw a vertical line through more than one point of this list. so this relation passes the vertical line test.

answer: choice d

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Step-by-step explanation: