1. Problem: Find the area of the region bounded by the graph of the function $f(x) = |x - 2|$ and the coordinate axes. 2. Understanding the function: The function $f(x) = |x - 2|$ is an absolute value function shifted 2 units to the right. It forms a "V" shape with the vertex at $(2,0)$. 3. Important points: The graph intersects the x-axis at $x=2$ because $|2-2|=0$. It intersects the y-axis at $x=0$, where $f(0) = |0-2| = 2$. 4. To find the area bounded by the graph and the axes, we consider the region between $x=0$ and $x=2$ because the graph and axes form a closed region there. 5. Express $f(x)$ without absolute value for $0 \leq x \leq 2$: Since $x-2 \leq 0$ in this interval, $f(x) = 2 - x$. 6. The area $A$ is the integral of $f(x)$ from 0 to 2: $$ A = \int_0^2 (2 - x) \, dx $$ 7. Calculate the integral: $$ A = \left[2x - \frac{x^2}{2}\right]_0^2 = \left(2 \times 2 - \frac{2^2}{2}\right) - (0) = (4 - 2) = 2 $$ 8. Therefore, the area of the region bounded by the graph and the coordinate axes is $2$ square units. Final answer: D) 2