Activity 1.6.2.
Let functions \(p\) and \(q\) be given by the graphs in the figure below, which are each piecewise linear - that is, parts that look like straight lines are straight lines. In addition, let \(f\) and \(g\) be given by the tables below.
| \(x\) | 0 | 1 | 2 | 3 | 4 |
| \(f(x)\) | 6 | 4 | 3 | 4 | 6 |
| \(g(x)\) | 1 | 3 | 0 | 4 | 2 |
Compute each of the following quantities or explain why they are not defined.
(a)
\(p(q(0))\)
(b)
\(q(p(0))\)
(c)
\((p \circ p)(-1)\)(d)
\((f \circ g)(2)\)
(e)
\((g \circ f)(3)\)
(f)
\(g(f(0))\)
