15-30 - Graphing Factored Polynomials Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits the proper end behavior. 15. P(x) = (x – 1)(x + 2) 16. P(x) = (2 – x)(x + 5) %3D 17. P(x) = -x(x - 3)(x + 2) 18. P(x) = x(x – 3)(x+ 2) 19. P(x) = -(2x – 1)(x+ 1)(x + 3) 20. P(x) = (x – 3)(x + 2)(3x – 2) 21. P(x) = (x + 2)(x + 1)(x – 2)(x – 3) 22. P(x) = x(x + 1)(x – 1)(2 – x) 23. P(x) = -21(x – 2)? 24. P(x) = a(x – 5)² 25. P(x) = (x + 2)(x + 1)*(2r – 3) 26. P(x) = -(x + 1)(x – 1)°(x – 2) 27. P(x) = #(x + 2)*(x – 3)² 28. P(x) = (x – 1)*(x + 2)³ 29. P(x) = x'(x + 2)(x – 3)² 30. P(x) = (x – 3)°(x+ 1)²

15-30 - Graphing Factored Polynomials Sketch the graph of the polynomial function. Make sure your graph shows all intercepts and exhibits the proper end behavior. 15. P(x) = (x – 1)(x + 2) 16. P(x) = (2 – x)(x + 5) %3D 17. P(x) = -x(x - 3)(x + 2) 18. P(x) = x(x – 3)(x+ 2) 19. P(x) = -(2x – 1)(x+ 1)(x + 3) 20. P(x) = (x – 3)(x + 2)(3x – 2) 21. P(x) = (x + 2)(x + 1)(x – 2)(x – 3) 22. P(x) = x(x + 1)(x – 1)(2 – x) 23. P(x) = -21(x – 2)? 24. P(x) = a(x – 5)² 25. P(x) = (x + 2)(x + 1)(2r – 3) 26. P(x) = -(x + 1)(x – 1)°(x – 2) 27. P(x) = #(x + 2)(x – 3)² 28. P(x) = (x – 1)*(x + 2)³ 29. P(x) = x'(x + 2)(x – 3)² 30. P(x) = (x – 3)°(x+ 1)²

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.2: Polynomial Functions Of Higher Degree

Problem 5E: Fill in the blanks. When a real zero xa of a polynomial functionfis of even multiplicity, the graph...

See similar textbooks

Similar questions

Social Security Assets The table gives actual and projected year end assets in Social Security trust funds, in trillions of current dollars, where Year represents the number of years since 2000. Source: Social Security Administration. The polynomial function defined by f(t)=0.0000329t30.00450t2+0.0613t+2.34 models the data quite well. a. To verify the fit of the model, find f(10),f(20), and f(30). b. Use a graphing calculator with a command such as nDeriv to find the slope of the tangent line to the graph of f at the following t-values: 0,10,20,30, and 35. c. Use your results in part b to describe the graph of f and interpret the corresponding changes in Social Security assets. YearTrillionsofDollars102.45202.34301.03400.57501.86
(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
Maximize volume An open box is to be constructed from a piece of cardboard 20 inches by 24 inches by cutting a square of length x from each corner and folding up the sides as shown in the figure. a. Write a polynomial function V(x) that expresses the volume of the constructed box as a function of x. b. Use the theory learned about graphing polynomial functions and graph V(x). c. What is the domain of the function as it relates to the application problem? d. Use a graphing calculator to graph the function, and estimate the value of x that gives the maximum volume and then estimate the maximum volume. Round to one decimal place.
If a polynomial function of degree n has n distinctzeros, what do you know about the graph of thefunction?
Fill in the blanks. The graph of a polynomial function is , which means that the graph has no breaks, holes, or gaps.
Height of a basketball The path of a basketball thrown from the free throw line can be modeled by the quadratic function f(x)=0.06x2+1.5x+6, where x is the horizontal distance in feet from the free throw line and f(x) is the height in feet of the ball. Find the maximum height of the basketball.
Write a third-degree polynomial function with real coefficients and the given zeros. 4,i
LIFE SCIENCE APPLICATIONS Alcohol Concentration The polynomial function A(t)=0.003631t3003746t2+01012t+0009 gives the approximate blood alcohol concentration in a 170lb woman thours after drinking 2oz of alcohol on an empty stomach, for t in the interval [0,5]. Source: Medical Aspects of Alcohol Determination in Biological Specimens. a. Graph A(t) on 0t5. b. Using the graph from part a, estimate the time of maximum alcohol concentration. c. In many states, a person is legally drunk if the blood alcohol concentration exceeds 0.08. Use the graph from part a to estimate the period in which this 170lb woman is legally drunk.
Too Many Corn Plants per Acre? The more corn a farmer plants per acre, the greater is the yield the farmer can expect. But only up to a point, many plants acre can cause Overcrowding and decrease yields, data give yields per acre for various densities of corn plantings, as found by researchers at a university test farm. (a) Find the quadratic polynormal that best fits the data. (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) use your result (b) to estimate the yield for 37000 plants per acre.
Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x
Fill in the blanks. When a real zero xa of a polynomial functionfis of even multiplicity, the graph of fthe x-axisatx=a,and when it is of odd multiplicity, the graph of f the x-axisatx=a.