CPM Homework Help : APCALC Problem 3-114

Theresa loves tangents! She drew several tangents to a function $g$ , and then erased $g$ ! Trace the graph with the tangents at right and sketch a possible function for $g$ . Is there more than one possibility? If so, sketch another possible function using a different color.

Answer:

Added to Segments from problem is continuous curve, coming from lower left, passing through the center points of segments, & through x axis between 0 & 1, turning at about (1.5, comma 2.5), & turning at about (3.5, comma 1), continuing up & right.

One possible solution. Sketch another.

First Segment with highlighted center point at (1, comma 2), with one end point at about (1.3, comma 2.8), second segment with highlighted center point at about (3, comma 1.2), with one end point at about (2, comma 1.5).