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The following table represents a relation. X Y -3 0 0-2 5 -3 11-2 Does the table represent y as a function of c? Why or why not? No, because a number in the input is the same as a number in the output. Yes, because there are no x-values with more than one y-value. Yes, because every x-value has at least one y-value. No, because there are two inputs that have the same output.​

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The table represent y as a function of c, Yes because every x-value has at least one y-value.

According to the question,

X       -3          0          5            11

Y        0           2          -3          -2

In order to find the table represent y as a function of c, When x = -3; y=0; x= 0 ;y=2; x= 0 y=2; x= 5 y=-3; x= 11 y=-2.

  • No, because a number in the input is the same as a number in the output.

⇒ Above option is wrong, because a number in the input is not same as a number in the output.

  • Yes, because there are no x-values with more than one y-value.

⇒ Above option is wrong, because there are many x-values with more than one y-value.

  • Yes, because every x-value has at least one y-value.

⇒ Above option is correct, because every x-value has at least one y-value.

  • No, because there are two inputs that have the same output.

⇒ Above option is wrong,  because there are not two inputs that have the same output

Hence, the table represent y as a function of c, Yes, because every x-value has at least one y-value. Above option is correct, because every x-value has at least one y-value.

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