Question

Given the piecewise function `3-x, x<=2`, `x^2, x >2`, how do you evaluate f(6)?

Answer 1

`f(6)=36`

Explanation:

This is a compound function with different definition depending on the input value `x`.

If `x<=2` then `f(x)=3-x`.

If `x>2` then `f(x)=x^2`.

Since `6>2`, the function takes on the definition `f(x)=x^2` when `x=6`.

Hence `f(6)=6^2=36`