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which of the following is a function?a. (2, 5),(5,2),(0,0)b.(2,5),-9,0)c.(-9,2)(0,-9)d.(2,5),(5,-9),(2,0)

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Problem

which of the following is a function?

a. (2, 5),(5,2),(0,0)

b.(2,5),-9,0)

c.(-9,2)(0,-9)

d.(2,5),(5,-9),(2,0)

Solution

For this case we need to satisfy that for each value we have just one value of y and if we analyze one by one the options we have:

a. (2, 5),(5,2),(0,0)

For this case is a function we satisfy the definition

b.(2,5),(-9,0)

This is a function based on the definition

c.(-9,2)(0,-9)

This is a function satisfy the condition

d.(2,5),(5,-9),(2,0)

This is not a function since for x=2 we have two values of y

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