Chapter 5.1, Problem 18ES

To determine

To graph: The function, $f\left(x\right)=3x-3$ , over the interval, $\left[a,x\right]=\left[2,x\right]$ . Then, find the area function, $A\left(x\right)$ , that gives the area between the graph of the specified function, $f$ , and the interval, $\left[a,x\right]$ , by the use of the simple area formulas. Also, confirm that $A^{\prime }\left(x\right)=f\left(x\right)$ .