Answer
The function $ f\left( x \right)={{x}^{2}}+4x-6$ is not discontinuous at any point.
Work Step by Step
Consider the function $ f\left( x \right)={{x}^{2}}+4x-6$,
Since the function $ f\left( x \right)={{x}^{2}}+4x-6$ is a polynomial function, and all polynomial functions are continuous everywhere, thus, the function $ f\left( x \right)={{x}^{2}}+4x-6$ is not discontinuous at any point.
