8.1 Introduction To Functions

1. Evaluate a function for a given numerical or algebraic value.
   • Evaluating a quadratic function (Mathispower4u)
   • Evaluating a square root function (Mathispower4u)
2. Find all numerical (“input”) values for which a function takes a certain (“output”) value.

3. Evaluate the composition of two functions for a given “input” value; determine a simplified composition function for two given functions.
   • Composition oftwofunctions (PatrickJMT)

4. Describe sets of numbers using inequalities or interval notation.
   • Interval notation (Mathispower4u)

5. Determine the domains of rational and radical functions.
   • Domains of functions - watch until 9:35 (PatrickJMT)
   • Domains of functions - ignore the parts about the range (Mathispower4u)
   • Domains of functions - ignore the parts about the range (PatrickJMT)

6. Graph quadratic, polynomial and simple root and rational functions.
   

7. Determine whether the graph of a quadratic function is a parabola opening up or down, and find the coordinates of the vertex of the parabola.