Introduction to Functions

intro to functions
From linear equations to functions.
guzinta math functions


multiply divide negatives


Students will then figure out the function hidden inside each of several linear function machines by entering inputs and observing the outputs generated by the machine and recorded in an x-y (input-output) table. Functions involve positive, negative, and 0 slopes and positive and negative y-intercepts. Students determine the rate of change, or slope, whether the linear function is increasing, decreasing, or neither, and the value of the function at x = 0 (the y-intercept).

Finally, students write and evaluate linear functions, given a small variety of different problem situations. Students use function notation to evaluate functions at given inputs, and they determine ordered pair solutions for functions. Students write linear functions for situations by identifying whether the function is increasing, decreasing, or neither, and determining the y-intercept.

Module 3 Video

This video introduces the basics of linear functions. Ask students to tell whether the first function, f(x) = 2x + 3, is increasing, decreasing, or neither, and why. Do the same for the skier function and for the plane function at the end. Have students compare the graphical representation of the skier’s function with the table representation for the plane’s function.