State if a rule is a function and, if it is, determine if it has an inverse that is also a function and justify
Determine if a function is linear, quadratic, exponential, or none of these and provide justification
Find a linear, polynomial, exponential, or logarithmic function with given graphical properties or a real-world situation (context)
Change the form of a linear, quadratic, or exponential function to one that more easily answers a given question
Evaluate functions involving polynomial, radical, rational, exponential, or logarithmic expressions at given input values, or find input values that map to a given output value
Compose or decompose functions and know the definition of an inverse function
Use function composition to show two functions are inverses.
Show function decompositions are not unique by finding different decompositions of a given function.
Use the structure of a function involving polynomial, radical, rational, exponential, or logarithmic expressions to
Justify claims about domain, range, and minimum or maximum values
Sketch a graph of the function
Explain practical meaning of constants or values given a real-world context