This topic focuses on finding the rise of a line, which is the change in the y-values (Δy), given two points in the context of their function outputs, f(x). The problems require calculating the difference in the y-values for specific x-intervals such as from x=5 to x=7 (f(5) to f(7)) among others. Essentially, learners are required to understand and apply the concepts of the slope (rise/run) of a line, though only the "rise" aspect is emphasized here under various increments along the x-axis.
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Find the rise of the line (change in y) between 2 and 10 given the two values for y = f(x)
f(2) = 6
f(10) = 10