The table below represents which type of function?

Question

Input Output
1 1
2 4
3 9
4 16

Answer 1

The table represents a quadratic function. Specifically, the output values correspond to the squares of the input values:

• \(1^2 = 1\)
• \(2^2 = 4\)
• \(3^2 = 9\)
• \(4^2 = 16\)

Thus, the relationship can be expressed as \(f(x) = x^2\), where the output is the square of the input.