Activity 1.9.2.
Consider the functions \(f\) and \(g\) defined by the following figures. Assume that the given lines and curves pass through intersection points on the grid when it looks plausible. For instance, \((0,2.5)\) and \((3,-0.5)\) lie on the graph of \(f\text{,}\) and \((-1,3)\) and \((1.5, 1.5)\) lie on the graph of \(g\text{.}\)
(a)
Determine the exact value of \((f+g)(0)\text{.}\)
(b)
Determine the exact value of \((g-f)(1)\text{.}\)
(c)
Determine the exact value of \((f \cdot g)(-1)\text{.}\)
(d)
Are there any values of \(x\) for which \(\left( \frac{f}{g} \right)(x)\) is undefined? If not, explain why. If so, determine the values and justify your answer.
