Question

On the graph shown, what is f(-2)

Answer 1

3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3

Answer 2

Based on the graph shown above, the output value of f(-2) is equal to 1.

In Mathematics and Euclidean Geometry, a piecewise-defined function is a type of function that is defined by two or more mathematical expressions over a specific domain.

Note: The inequality symbol < or > represents a hollow dot (circle).

The inequality symbol ≤ or ≥ represents a solid dot (circle).

Generally speaking, the domain of any piecewise-defined function is the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, there is a solid circle above -2 and a hollow circle below it.

In this context, we can logically deduce that the given piecewise-defined function is defined for a y-value of 1 at f(-2).