MATH 111 Class Notes

Understanding the basics of functions and their graphs, including: 1. Finding the domain and range of a relation. 2. Determine whether a relation is a function. 3. Determine whether an equation represents a function. 4. Evaluate a function. 5. Graph functions by plotting points. 6. Use the vertical line test to identify functions. 7. Identify the domain and range of a function from its graph. 8. Identify intercepts from a function's graph. Further information on functions and their graphs, including: 1. Identify intervals on which a function increases, decreases, or its constant. 2. Use graphs to locate relative maxima or minima. 3. Test for symmetry. 4. Identify even or odd functions and recognize their symmetries. 5. Understand and use piecewise functions. 6. Find and simplify a function's difference quotient.