5.1 part 2
- 2. Describing the Shape of a Cubic Function 1. List the function in standard form 2. Describe the end behavior of the graph 3. Determine the possible number of turning points 4. Use a graphing calculator to sketch the graph 5. Label the areas of the graph that are increasing or decreasing
- 3. Example: Describe the Shape of a Cubic Function
- 4. Example: Describe the Shape of a Cubic Function
- 5. Determine the sign of the leading coefficient and the degree of the polynomial. 1. Identify the end behavior This tells you whether the leading coefficient a is positive or negative 2. Identify the number of turning points # of turning points + 1 = possible degree of the polynomial
- 6. Determine the sign of the leading coefficient and the degree of the polynomial.
- 7. Determine the sign of the leading coefficient and the degree of the polynomial.
- 8. Using differences to determine degree Given a table of values (or a set of ordered pairs) Analyze the differences of consecutive y – values, to determine the least-degree polynomial function that could generate the data ◦ If the first differences are constant, the function is linear ◦ If the second differences are constant, the function is quadratic ◦ If the third differences are constant, the function is cubic ◦ And so on…
- 9. Example: Determine the degree of the polynomial function with the given data.
- 10. Example: Determine the degree of the polynomial function with the given data.
- 11. Homework P 285 #32 – 37 all (Change directions) #38, 39, 41 – 49all, 58, 61, 69 – 71all