1. Sign Studies

2. Why do we use sign studies?

3. Example 1. Determine the equation of f(x) by identifying the x-intercepts (roots, solutions, zeros, factors) and using the end behavior to determine the leading coefficient.

6. You will need to use your strategies for finding zeros (factoring, quadratic formula, synthetic division, etc.)

9. Again, you will need to use your strategies for finding zeros (factoring, quadratic formula, synthetic division, etc.)

12. Summary Sign Study Zeros (Critical Pts)+ sign study- sign study x-intercepts of graph lies above x-axis lies below x-axis Relative Extrema (if sign changes) (Max + to -) (Min - to +) is increasing is decreasing Points of inflection (if sign changes) is concave up is concave down

13. Let’s try another example: Find the equation for a cubic polynomial which contains the following points: (-1,0)(0,2)(1,0)(2,0)

16. Using the characteristics, draw the graph of the function.

17. Assignment HW I Have a Good Weekend!