# Name Have I learned This – Alg2/Trig Unit 5 Test Graph and Solve Polynomial Functions Parent Signature sol: t1, t4, t7, t8 Teacher Signature Date of Retake Complete the statement to describe the end behavior of the graph of the function

 Name__________________________________ Have I Learned This – Alg2/Trig Unit 5 Test Graph and Solve Polynomial Functions Parent Signature_________________________ SOL: A2.T1, A2.T4, A2.T7, A2.T8 Teacher Signature________________________ Date of Retake___________________ Complete the statement to describe the end behavior of the graph of the function. 1. 2.   Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 3. 4. –3, 0, 5 5. 6. Give an example of a cubic function which has a 7. Divide. graph that intersects the x-axis in exactly two points. 8. Two zeros of are and 8. a. How many additional zeros are there? Explain. b. How many turning points does the graph of f have? Explain. c. Find all local maximums and local minimums. Then find the range of the function.   9. Using the polynomial function , a. Explain what effect the exponent of each factor has on the graph of the polynomial. b. Make a sketch of the graph. 10. Evaluate the polynomial function when d = 4: Find the real-number solutions of the equation. 11. 12. Factor the polynomial completely. 13. 14. 15. 16.  17. Simplify the expression. 18. Find the real zeros. 19. Sketch the graph of a third-degree polynomial function that has one local maximum, one local minimum, and three zeros. Identify each of these points. 20. Evaluate: 21. List the possible rational zeros of the function   22. Write the cubic function whose graph is shown. 23. Find the product: Find all zeros of the polynomial function. 24. 25. 26. 27. Graph the polynomial function. 28. Use the graph to approximate the zeros of the function.     29. Write a cubic function who’s graph passes through the points , , , and ? 30. A catering company is designing a box for packing chocolate covered nuts. The company would like the volume of the box to be 54 cubic inches and the bottom of the box to be a square. Suppose the bottom of the box has a width that is 3 inches smaller than the height x of the box. Download 152.05 Kb.Share with your friends: