1. 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.

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.

3. 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.

4. 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].

5. 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.

6. 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.

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

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

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

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

11. 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.

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

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

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

15. 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

16. 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.

17. 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 = r2 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.

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