Algebra-2

The graph: The line first increases, then decreases, increases again at ( x = -2 ), and decreases again after that. This suggests that the graph has changes in direction, implying the existence of local maxima and minima.

The analysis of each option:

A."There is a local mini at ( x = -2 )":

The graph increases to ( x = -2 ) and then decreases after ( x = -2 ). This indicates a local minimum at ( x = -2 ), so this statement is true.

B."The graph has an absolute minimum":

An absolute minimum means the graph has a point that is lower than all other points on the entire graph. Since we don’t have enough information to definitively say that the graph's lowest point is at ( x = -2 ) (it could be elsewhere), this statement is not necessarily ...