The student will investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions algebraically and graphically.
A2.F.2a
Determine and identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically, including graphs with discontinuities.
A2.F.2b
Compare and contrast the characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions.
A2.F.2c
Determine the intervals on which the graph of a function is increasing, decreasing, or constant.
A2.F.2d
Determine the location and value of absolute (global) maxima and absolute (global) minima of a function.
A2.F.2e
Determine the location and value of relative (local) maxima or relative (local) minima of a function.
A2.F.2f
For any value, x, in the domain of f, determine f(x) using a graph or equation. Explain the meaning of x and f(x) in context, where applicable.
A2.F.2g
Describe the end behavior of a function.
A2.F.2h
Determine the equations of any vertical and horizontal asymptotes of a function using a graph or equation (rational, exponential, and logarithmic).
