The question provides a graph of a function and asks the student to evaluate one or more limits (one-sided or two-sided) or combinations of limits by reading values from the graph.
In the rectangular coordinate plane, the graphs of $f$, $g$, and $h$ linear functions defined on the closed interval $[0,1]$ are given in the figure. Let $a$ and $b$ be real numbers in the open interval $(0,1)$ and $$f(1) = g(1)$$ $$f(a) = g(b) = h(b)$$ equalities are satisfied. Accordingly, which of the following orderings is correct? A) $f(a) < h(a) < g(a)$ B) $g(a) < f(a) < h(a)$ C) $g(a) < h(a) < f(a)$ D) $h(a) < f(a) < g(a)$ E) $h(a) < g(a) < f(a)$