Question

Which table represents a function

Answer 1

Table C.

Explanation:

A function always defines the relationship of input and output. For every input value function defines exactly one output value.

It reveals that for same values of input there can not be different values of output.

Table (A) For input value x = 1 there are two values of output f(x) = 9 and 15. So not the function.

Table (B) For input value x = 1 different values of output = 4 and 5. So not the function.

Table (C) In this table for every value of input there are different values of output so defines a function.

Table (D) For input value x = 0 there are two different output value f(x) = 2 and 5. so it is not a function.

Answer 2

C

Explanation:

A function is a rule that assigns exactly one output to each input. This means the input values of the function cannot repeat with different output values.

Tables A, B, and D have repeating input values in the x row (the second row). This means they are NOT functions.

C is the solution.