Question

Which of the following representations are functions?

Answer 1

Option 2: A and B only

Step-by-step explanation:

A: $\{(0,9),(3,12),(-5,10),(5,10)\}$

The function can be represented in ordered pairs. Also, the x-values are not repeated and each has only one y-value. Hence, in this given ordered pair the values of x are not repeated and each has only one y-value.

Thus, A is a function.

B: $y=x^{2} +10$

This is the general way of representing a function in which the input value (x-value) exactly related to one output value (y-value). Hence, in this given function the x-value has only one y-value.

Thus, B is a function.

C: The function can also be represented using tables in which each x-value is not repeated and has only one y-value. But, in this given table, the values of x (x=10) are repeated twice.

Thus, C is not a function.

Option 1: A only

Reason: A and B are the correct representations of the function.

This option 1 is not the correct answer.

Option 2: A and B only

Reason: A and B are the correct representations of the function.

This option 2 is the correct answer.

Option 3: A and C only

Reason: C is not a function. Only A and B are the correct representations of the function.

This option 3 is not the correct answer.

Option 4: A, B and C

Reason: Only A and B are the correct representations of the function and C is not a function.

This option 4 is not the correct answer.