Which of the following represent a function?
y
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Which of the following represent a function?
y
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Functions cannot have different values of y for the same value of x. Now let us check each case one at a time.
First Case: For the same value of x=-1, y has two different values of 7 and 1, which is not allowed in a function. Therefore, the first case is not a function.
Second Case: For the same value of x=-1, y has two different values of -5 and 1, which is not allowed in a function. Therefore, the second case is not a function.
Third Case: For the same value of x=3, y has two different values of 2 and 4, which is not allowed in a function. Therefore, third case is not a function.
Fourth Case: In this case no value of x is same. So, this is a function.