In this lesson, students continue to develop their ability to interpret statements in function notation in terms of a situation, including reasoning about inequalities, such as . They now have to pay closer attention to the units in which the quantities are measured to effectively interpret symbolic statements. Along the way, students practice reasoning quantitatively and abstractly (MP2) and attending to precision (MP6).

Students also begin to connect statements in function notation to graphs of functions. They see each input-output pair of a function as a point with coordinates when is the input, and they use information in function notation to sketch a possible graph of a function.

Students’ work with graphs is expected to be informal here. In a later lesson, students will focus on identifying features of graphs more formally.