To begin, let's reproduce the graph of the function y=|x+2|-1.
Shape: The shape looks like a v. Although the function as a whole is not linear, each side of the v appears to be linear.
Rate of change: The rate of change on the left is negative, and on the right it is positive. Therefore, it is not constant.
Symmetry: The graph looks symmetrical about x=- 2. If we were to fold the graph vertically aloong this line, the sides would map onto each other.
Possible x- and y-values: The graph extends both to the left and the right. That means x can take any value. However, it appears as though y is never negative.
Starting/stopping point: There is no stopping or starting point, because the graph extends infinitely.
Minimum/Maximum: The point (- 2,- 1) is the minimum of the function.
