CPM Homework Help : CALC Problem 4-57

Mateo and Ignacio want to calculate $\int _ { - 2 } ^ { - 5 } f ( x ) d x$ of an even function $f(x)$ . They know $\int _ { 2 } ^ { 5 } f ( x ) d x = - 3$ . Mateo thinks the answer will be $-3$ while Ignacio thinks the answer will be $3$ . Who is correct? Explain.

Hint 1:

Graph a possible even function that has the given area.

Hint 2:

The boy who was correct paid attention to two things:
1) The fact that $f(x)$ is even.
2) The order/direction of the bounds.