Graphing Polynomial Functions

Question 1

The following system of equations can be used to find the roots of the equation x3 + 72 = 5x2 + 18x.y = x3 + 72y = 5x2 + 18xGraph this system of equations on the graphing calculator.How many intersection points can you see in the default viewing window? ✔ 123

Revolt · Accepted Answer

1

Question 2

Adjust the window so you can find all of the points of intersection for the system of equations.What are the roots of the original polynomial equation? Check all that apply.

Revolt · Accepted Answer

6; –4; 3

Question 3

What are the approximate values of the non-integral roots of the polynomial equation?

Revolt · Accepted Answer

1.27; 4.73

Question 4

Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9?

Revolt · Accepted Answer

y = 2x3 + 4x2 – x + 5 y = –3x2 + 4x + 9

Question 5

Sun shades are sold in the shape of right isosceles triangles. If the equation represents one shade that shields 64 square feet of area, which system can be used to find the lengths of the legs of the sun shade?

Revolt · Accepted Answer

[image 1] and [image 2]

Question 6

Did your explanation include the following?

Revolt · Accepted Answer

Some polynomial equations have complex solutions.; Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane.; Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.

Question 7

Select any of the following you included in your explanation.

Revolt · Accepted Answer

Graphing the related system means that you do not have to rewrite the equation to set it equal to 0. It is easier because you can just graph each side of the equation.; Sometimes it is difficult to locate the intersection point for the system. You might have to zoom in a lot or figure out how to resize the window. Using the related function lets you focus on the x-axis to find the points.

Question 8

Use the graphing calculator to graph the system. The solutions to the system are . Since the side lengths of a triangle must be positive, the length of one leg of the sun shade is feet.

Revolt · Accepted Answer

-11.3 or 11.3; Selection 1: -11.3 or 11.3; Selection 2: 11.3

Question 9

Use the graphing calculator to graph the system. The solutions to the system are . Since the side lengths of a triangle must be positive, the length of one leg of the sun shade is feet.

Revolt · Accepted Answer

11.3

Question 10

From least to greatest, what are the roots of the polynomial equation? , ,

Revolt · Accepted Answer

Part 1: -4; Part 2: -0.5; Part 3: 1; -4

Graphing Polynomial Functions Answers

More from this Course

TRY EDGENUITY HACKS