Direct Variation and Inverse Functions

We looked at two special kinds of functions today. The first type was the direct variation, which can be written as y = mx or y = kx. Students recognized these equations as special forms of the slope-intercept equation, where b = 0. These lines can have positive or negative correlation, and always pass through the origin.

The second special function in the inverse function. The equation takes the form xy = k, where k is a constant. The graph for these types of equations is not a line, but a pair of interesting curves that never really touch or cross the x and y axes. The word "asymptote" was introduced to students.

Tonight's Homework: Big Book p. 281-283 (1 - 4 and 10 - 18)