1 / 14

Polynomial Functions

Polynomial Functions. Section 2.3. Objectives. Find the x -intercepts and y -intercept of a polynomial function. Describe the end behaviors of a polynomial function. Write the equation of a polynomial function given the zeros and a point on the function.

della
Download Presentation

Polynomial Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Polynomial Functions Section 2.3

  2. Objectives • Find the x-intercepts and y-intercept of a polynomial function. • Describe the end behaviors of a polynomial function. • Write the equation of a polynomial function given the zeros and a point on the function. • Determine the minimal degree of a polynomial given its graph. • Solve a word problem involving polynomial function.

  3. Objectives • Use a graphing utility to find a local maximum or local minimum of a polynomial function. • Use a graphing utility to find the absolute maximum or absolute minumum of a polynomial function. • Use a graphing utility to find the intersection points of the graphs of two polynomials.

  4. Vocabulary • polynomial function • degree • leading coefficient • end behavior • repeated zero • multiplicity • local minimum • local maximum • absolute minimum • absolute maximum

  5. Graph each of the following: positive leading coefficient and even degree

  6. Graph each of the following: negative leading coefficient and even degree

  7. Graph each of the following: positive leading coefficient and odd degree

  8. Graph each of the following: negative leading coefficient and odd degree

  9. For the function • Find the x-intercept(s). • Find the y-intercept(s). • Describe the end behaviors.

  10. For the function • Find the x-intercept(s). • Find the y-intercept(s). • Describe the end behaviors.

  11. Find a possible formula for the polynomial of degree 4 that has a root of multiplicity 2 at x = 2 and roots of multiplicity 1 at x = 0 and x = -2 that goes through the point (5, 63).

  12. What is the smallest possible degree of the polynomial whose graph is given below.

  13. A box without a lid is constructed from a 36 inch by 36 inch piece of cardboard by cutting x inch squares from each corner and folding up the sides. • Determine the volume of the box as a function of the variable x. • Use a graphing utility to approximate the values of x that produce a volume of 3280.5 cubic inches.

  14. Consider the function: Find the absolute maximum and absolute minimum of the graph.

More Related