1. Warm Up Consolidated Cereals Corporation manufactures boxes of cornflakes with a fixed overhead cost. Consolidated produces 100 boxes of cornflakes for $1050 and 500 boxes for $1250. 1) Write a function for the production cost in terms of the number of boxes produced. 2) Explain the meaning of the slope in the context of this situation. 3) If the production cost is $1140, how many boxes of cornflakes were produced? 4) If the company produces 720 boxes of Cornflakes what should be the production cost?

2. Interval Notation Domain and Range Parent Graphs

3. Interval Notation An open interval does not include its endpoints, and is indicated with parentheses. A closed interval includes its endpoints, and is denoted with square brackets. – If a variable may be in one of several intervals, the intervals can be joined using a union symbol U, which means “or” mathematically.

4. Examples:

5. Domain is the set of all values of the independent variable (x) for which the function is defined. What is the domain?

6. Domain is the set of all values of the independent variable (x) for which the function is defined. What is the domain?

7. Remember…you can’t divide by zero or take the square root of a negative number! Write the domain for each of the following.

8. Range is the set of all values of the dependent variable (y) for which the function is defined. What is the range?

9. Range is the set of all values of the dependent variable (y) for which the function is defined. What is the range?

10. Write the range for each of the following.

11. Matching Activity

12. Parent Graphs