Given the function:
Determine for which values of x f\left(x\right) > 0 holds
Given the function:
Determine for which values of x f\left(x\right) > 0 holds
The given function is . This is a quadratic function where the coefficient of is positive, making the parabolic shape open upwards.
The expression is always non-negative. For this function to be greater than zero, it should not be equal to zero. We find the expression equals zero when .
When , is positive. Therefore, whenever . This applies to both positive and negative values, except for zero.
Thus, the correct answer is: .