Section Exercises
1. Explain the difference between the coefficient of a power function and its degree. 2. If a polynomial function is in factored form, what would be a good first step in order to determine the degree of the function? 3. In general, explain the end behavior of a power function with odd degree if the leading coefficient is positive. 4. What is the relationship between the degree of a polynomial function and the maximum number of turning points in its graph? 5. What can we conclude if, in general, the graph of a polynomial function exhibits the following end behavior? As and as . For the following exercises, identify the function as a power function, a polynomial function, or neither. 6. 7. 8. 9. 10. 11. For the following exercises, find the degree and leading coefficient for the given polynomial. 12. 13. 14. 15. 16. For the following exercises, determine the end behavior of the functions. 17. 18. 19. 20. 21. 22. 23. 24. For the following exercises, find the intercepts of the functions. 25. 26. 27. 28. 29. 30. For the following exercises, determine the least possible degree of the polynomial function shown. 31.![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_201.jpg)
![Graph of an even-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_202.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_203.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_204.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_205.jpg)
![Graph of an even-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_206.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_207.jpg)
![Graph of an even-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_208.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_209.jpg)
![Graph of an equation.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_210.jpg)
![Graph of an even-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_211.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_212.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_213.jpg)
![Graph of an equation.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_214.jpg)
![Graph of an odd-degree polynomial.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_Precalc_Figure_03_03_215.jpg)