1. Explain what is meant by a function. Give two real-world examples of relationships that are functions and two real-world examples that are not functions.
2. How many x-intercepts can a function have? Give a specific example and state the rule that backs up your answer.
3. Explain how the vertical line test works to prove if a graph is a function or not. Research and explain what the horizontal line test is used to prove for functions.
4. A classmate tells you that every quadratic function of the form f(x) = ax2 + bx + c has a domain of all real numbers. Do you agree? Explain.
5. Suppose that f is a function. Given, f(a) = f(b). Does this imply a = b? Prove with a specific example.