Answer
(b)
Work Step by Step
Sketch the graph and count (approximately) how many square units
(full 1$\times$1 squares) fit underneath the curve.
Here ... one unit is subdivided into four parts,
one square unit is 4$\times$4=16 squares,
and we count to about a little over 18 squares,
so the area is a little over 1 square unit
The closest choice is (b)