The table below represents which type of function?

Input Output
1 1
2 4
3 9
4 16

Nonlinear Function

Linear Function

1 answer

The table you provided represents a nonlinear function.

The outputs correspond to the inputs squared:

  • For input 1, the output is \(1^2 = 1\)
  • For input 2, the output is \(2^2 = 4\)
  • For input 3, the output is \(3^2 = 9\)
  • For input 4, the output is \(4^2 = 16\)

Since the relationship between the input and output is not a straight line (i.e., it involves squaring the input), it does not represent a linear function. Thus, the correct classification is a nonlinear function.