The graph of a polynomial function is given.P(x) = * -y4-4-22-24(a) From the graph, find the x- and y-intercepts. (If an answer does not exist, enter DNE.)x-intercepts(x, y) =(smaller x-value)(х, у) -(larger x-value)y-intercept(x, y) =(b) Find the coordinates of all local extrema. (If an answer does not exist, enter DNE.)local minimum(х, у) %3Dlocal maximum(x, y) =

Give is the graph of the following function. P(x)=19x4-49x3 The x-intercept of a graph is the point…

Answered: The graph of a polynomial function is…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...

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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.
Write a fourth degree polynomial function with real coefficients and the given zeros. i,2i
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.
(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.
(a) Find a polynomial function of degree 3 whose y-interceptis 5 and whose x-intercepts are - 2, 3, and 5. Graph thefunction.(b) Find a rational function whose y-intercept is 5 and whosex-intercepts are - 2, 3, and 5 that has the line x = 2 as avertical asymptote. Graph the function.
The graph of a higher order polynomial function may not intersect the x axis. Describe the characteristics of a higher order (greater than degree 2) polynomial that will not intersect the x axis. 1. Write the polynomial function in a standard and factored form. 2. Sketch the graph of the polynomial function, labeling key points on the graph and describe it's characteristics. 3. Describe how you know that graph will never intersect the x axis. 4. Change the polynomial into a higher order polynomial that will intersect the x axis and describe it's characteristics.
1B.5.3 3. The graph of a higher order polynomial function may not intersect the x-axis. Use what you have learned in this lesson to describe the characteristics of a higher order (greater than degree 2) polynomial that will not intersect the x-axis. 1) Write the polynomial function in standard and factored form and then sketch the graph of the polynomial function, labeling key points on the graph and describe its characteristics. 3) Describe how you know that graph will never intersect the x-axis. 4) Change the polynomial into a higher order polynomial that will intersect the x-axis and describe its characteristics.
Analyze the polynomial function f(x)=(x+2)(x-5)(x+6) (a) Determine the end behavior of the graph of the function. The graph of f behaves like y=| | for large values of | x |.
A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the cylinder as a polynomial function. Express the volume of the cylinder as a polynomial function.
How do I find a polynomial function with given zeros and multiplicities?
A student described the characteristics of the given graph of a polynomial function but made an error. Explain and correct the error made. f(x) = -3x^3 + 5x^2 + 11x Student's solution: This is a polynomial function of degree 3, so I know that the graph will have zero or two turning points. The leading coefficient of this cubic function is negative, so I know that the graph extends from quadrant Il to quadrant IV. There is no constant term, so there is no y-intercept. Because this function is cubic, I know that there can be 1, 2, or 3 x-intercepts.

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