This problem asks you to graph the integral functions for the given piecewise function $f(x)$, with two parts (a) and (b).

Part a:

The function $F_1(x) = \int_0^x f(t) \, dt$ is the integral of $f(x)$ from 0 to $x$, meaning the area under the curve from $x = 0$ to the point of interest.

Part b:

The function $F_2(x) = \int_0^x f(t) \, dt$ is similar to part (a), but this time you're integrating the function $f(x)$ from 0 to $x$ (the problem seems to repeat the same form for both parts, with different starting points for the integral).

Steps to solve:

• Analyze the graph of $f(x)$ to compute the area under the curve (integrals).
• Use the values from the graph of $f(x)$ to plot the corresponding values for $F_1(x)$ and $F_2(x)$.
  • In regions where $f(x)$ is positive, the integral will increase.
  • In regions where $f(x)$ is negative, the integral will decrease.

To proceed, could you confirm if you need help visualizing these integrals or any specific steps for the graph?