10 day full lessons includes lesson plans, worksheets, activities, assessments,
The student will be able to:
Graph the functions f(x)=x3 and f(x)= .
Identify and analyze attributes of cubic and cube root functions, including
Domain and range
Local maximum and minimum
Increasing or decreasing
Describe attributes as seen in various representations:
Graph a function and its inverse.
By hand using a table or reflection about y = x.
On calculator (using L1 and L2)
Write the inverse function algebraically
Interchange x and y, then solve for y
Use notation such s f-1(x).
Identify that cubic and cube root functions are inverses.
Use composition of functions to determine if functions are inverses of each other. f[f-1(x)] = f-1[f(x)] = x
Note domain restriction for a function and its inverse.
Determine the effect on the graphs of f(