Homework, Page 209 Describe how to transform the graph of an appropriate monomial function f (x) = xn into the graph of the given polynomial function. Sketch the transformed graph and support your answer. Compute the location of the y-intercept as a check on the transformed graph. 1. The graph g (x) is obtained from f (x) by translating 3 units right and applying a vertical stretch of 2.

Homework, Page 209 Describe how to transform the graph of an appropriate monomial function f (x) = xn into the graph of the given polynomial function. Sketch the transformed graph and support your answer. Compute the location of the y-intercept as a check on the transformed graph. 5. The graph g (x) is obtained by reflecting about the x-axis, translating 2 units left and 3 units down, and applying a vertical stretch of 2.

Homework, Page 209 Match the polynomial function with its graph. Explain your choice. Do not use a graphing calculator. 9. A cubic function with a positive leading coefficient proceeds from the third quadrant to the first quadrant and has, at most, three zeroes.

Homework, Page 209 Graph the function pairs in the same viewing window. Zoom out until the two graphs look nearly identical and state your viewing window. 13. The two curves appear to coincide with a window size of [-160,160] by [-160, 160].

Homework, Page 209 Graph the function in a viewing window that shows all of its extrema and x-intercepts. Describe the end-behavior using limits. 17.

Homework, Page 209 Graph the function in a viewing window that shows all of its extrema and x-intercepts. Describe the end-behavior using limits. 21.

Homework, Page 209 Describe the end-behavior using limits. 25.

Homework, Page 209 Match the function with its graph. Approximate all real zeroes. a. b. c. d. 29.

Homework, Page 209 Find the zeroes of the function algebraically 33.

Homework, Page 209 Find the zeroes of the function algebraically 37.

Homework, Page 209 State the degree and list the zeroes of the polynomial function. State the multiplicity of each zero and whether the graph crosses the x-axis at the corresponding x-intercept. Then sketch the graph of the polynomial function by hand. 41.

Homework, Page 209 Graph the function in a viewing window that shows all of its x-intercepts and approximate all of its zeroes. 45.

Homework, Page 209 Find the zeroes of the function algebraically or graphically. 49.

Homework, Page 209 Using only algebra, find a cubic function with the given zeroes. Support by graphing your answer. 53.

Homework, Page 209 Use cubic regression to fit a curve through the four points given in the table. 57. x -3 -1 1 3 y 22 25 12 -5

Homework, Page 209 Explain why the function has at least one real zero. 61. The function has at least one real zero because any function with all real coefficients and an odd leading exponent must cross the x-axis at least one time, yielding at least one real root.

Homework, Page 209 65. Research conducted at a national research project shows that the speed at which a blood cell travels in an artery depends on its distance from the center of the artery. The function v = 1.19 - 1.87r2 models the velocity in centimeters per second of a cell that is r centimeters from the center of an artery. a. Find a graph of v that reflects values of v appropriate for this problem. Record the viewing window dimensions.

Homework, Page 209 65. b. If a blood cell is traveling at 0.975 cm/sec, estimate the distance the blood cell is from the center of the artery.