Objective 
The student will be able to evaluate polynomial functions and identify general shapes of the graphs of polynomial functions.

Area of an Irregular Polygon
Jimmy went for a 4 hour bike ride on Saturday morning. The graph below displays his speed at different times of the ride. Find the area of the polygon formed by this graph. Hint: You will need to divide this polygon into smaller sections that you know how to find the area of. There are many ways to do this, but if you need help, try checking the check boxes for suggested sections. Use the tools at the top of the window to draw in your own sections. On your own paper, show your work and find the total area of the irregular polygon.
Click to view the Geogebra lesson


SOL 
AII.6  The student will recognize the general shape of function (absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic) families and will convert between graphic and symbolic forms of functions. A transformational approach to graphing will be employed. Graphing calculators will be used as a tool to investigate the shapes and behaviors of these functions.
AII.7 c, d, e, & f  The student will investigate and analyze functions algebraically and graphically. Key concepts include
a) domain and range, including limited and discontinuous domains and ranges;
b) zeros;
c) x and yintercepts;
d) intervals in which a function is increasing or decreasing;
e) asymptotes;
f) end behavior;
g) inverse of a function; and
h) composition of multiple functions.
Graphing calculators will be used as a tool to assist in investigation of functions.
