3.Also each example is it positive or negative and even or off functions ## Example C\[ f(x) = 5x^6 + 3x^4 - 8x^2 + 2x + 9 \]**Degree:**[Dropdown Menu Widget]---In this example, we are given a polynomial function $ f(x) $ and asked to determine its degree. The degree of a polynomial is the highest power of the variable $ x $ with a non-zero coefficient. In this case, the highest power of $ x $ is 6, with a coefficient of 5. Therefore, the degree of the polynomial $ f(x) $ is 6.Students can use the dropdown menu provided to select the correct degree of the polynomial from the options given. ### Polynomial Graph AnalysisUse the 3 examples below to answer the questions.#### Example A![Graph of Example A](example_a.png)- The graph displays a polynomial function.- It intersects the x-axis at two distinct points, indicating potential real roots.- The curve has turning points, typical for higher-degree polynomials.**Inputs:**- **Degree:** [Dropdown Menu]- **Number of real roots:** [Dropdown Menu]- **Number of complex roots:** [Dropdown Menu]#### Example B![Graph of Example B](example_b.png)- This is another polynomial function graph.- The function crosses the x-axis multiple times, suggesting real roots.- The presence of inflection points indicates changes in concavity of the curve.**Inputs:**- **Degree:** [Dropdown Menu]- **Number of real roots:** [Dropdown Menu]- **Number of complex roots:** [Dropdown Menu]**Instructions for Further Analysis:**1. **Identify Graph Behavior:** - Determine the degree of the polynomial by counting the number of turning points and the general shape of the graph. - Count the number of times the graph crosses the x-axis to estimate the number of real roots.2. **Evaluate Root Distribution:** - Use the graph to split real and complex roots. Remember, a polynomial of degree n has exactly n roots, combining both real and complex (accounting for multiplicity).3. **Select Appropriate Answers:** - Use the dropdown menus to select the degree, number of real roots, and number of complex roots for each example.By analyzing these properties, you will better understand polynomial functions and their graphical behavior.

Name: 3.Also each example is it positive or negative and even or off functio
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 3.Also each example is it positive or negative and even or off functions ## Example C\[ f(x) = 5x^6 + 3x^4 - 8x^2 + 2x + 9 \]**Degree:**[Dropdown Menu Widget]---In this example, we are given a polynomial function $ f(x) $ and asked to determine its

As per the company guidelines We can first question only. Please understand. Kindly repost the…

Answered: f(x) = 5x + 3x4 -8x²+2x+9 Degree:

Math

Calculus

f(x) = 5x + 3x4 -8x²+2x+9 Degree:

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 1P

See similar textbooks

Related questions

Q: 1. Find the function y(t) satisfying y' = ev-t(1+t?) sec y with y(0) = 0.

A: Claim: solution for with y(0)=0. Integrating both sides we get, Take u=e-y then du=-e-y and…

Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

Q: Give four ways that functions may be defined and represented.

A: A function can be represented verbally. For example, the circumference of a square is four times one…

Q: Given the periodic function over the period [-π/2, π/2] f(x) = x|x| a. Plot f(x) on the interval…

Q: when both the dependent and independent values of a function increase, it is said to be ?

Q: The graph shows four different functions. jhg Which function will eventually exceed the other…

Q: O {(-5,6), (9, 4),(-7,2), (–9, 6)}

A: Given : The order pairs , { ( 0 , 1 ) , ( 2 , - 1 ) , ( - 7 , 6 ) , ( 0 , 3 ) } { ( - 5 , 6 ) , ( 9…

Q: When two odd functions are multiplied, the combined function is also an odd function. True or…

A: Given statement is, when two odd functions are multiplied, the combined function is also an odd…

Q: A class has two options to pass the class: either the homework grade is at least 60% or the final…

A: Given Information: There are two options for a class to pass. Either the homework grade is at least…

Q: Determine if each represents a func {(1, 1), (2, 2), (3, 5), (4, 10), (5, 15)}

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (a) How is the number e defined?(b) What is an approximate value for e ?(c) Sketch, by hand, the…

A: (a) The number e is a mathematical constant which is also known as Euler's number. Euler's number e…

Q: is the function even, odd, or neither

A: First we find the equation from the graph:Points are (2,0) and (0,3)m=y2-y1x2-x1 where m is the…

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

Q: Show whether the function y=x² is considered as even or odd function

Q: -5 5. 10 -5 -10 10

Q: f(x) = x° + 2x² - 7 6.2

A: The given function, f(x)=x6+2x2-7

Q: B В 11.9 C 12 13 Хо Xo 10 A A

Q: 3 3 Z =6x,. X2 + X, + Xg + l06 find the endpoints of the function

Q: A school opened with 100 students. The number of students has increased by 25% each year since the…

Q: If the functions f(x², y²) and g(x, y) are homogeneous of degree 2 and 4, f (x, y) g(x, y) 1…

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) = (x – 7)? - f(x) = 9(x) =

Q: Describe an example of a real-live application of functions of two or more variables.

Q: When is a function never negative

Q: Find 2ore and its order for the Function

Topic Video

Question

3.Also each example is it positive or negative and even or off functions

## Example C

\[ f(x) = 5x^6 + 3x^4 - 8x^2 + 2x + 9 \]

**Degree:**
[Dropdown Menu Widget]

---

In this example, we are given a polynomial function $ f(x) $ and asked to determine its degree. The degree of a polynomial is the highest power of the variable $ x $ with a non-zero coefficient. In this case, the highest power of $ x $ is 6, with a coefficient of 5. Therefore, the degree of the polynomial $ f(x) $ is 6.

Students can use the dropdown menu provided to select the correct degree of the polynomial from the options given.

### Polynomial Graph Analysis

Use the 3 examples below to answer the questions.

#### Example A
![Graph of Example A](example_a.png)
- The graph displays a polynomial function.
- It intersects the x-axis at two distinct points, indicating potential real roots.
- The curve has turning points, typical for higher-degree polynomials.

**Inputs:**
- **Degree:** [Dropdown Menu]
- **Number of real roots:** [Dropdown Menu]
- **Number of complex roots:** [Dropdown Menu]

#### Example B
![Graph of Example B](example_b.png)
- This is another polynomial function graph.
- The function crosses the x-axis multiple times, suggesting real roots.
- The presence of inflection points indicates changes in concavity of the curve.

**Inputs:**
- **Degree:** [Dropdown Menu]
- **Number of real roots:** [Dropdown Menu]
- **Number of complex roots:** [Dropdown Menu]

**Instructions for Further Analysis:**

1. **Identify Graph Behavior:**
- Determine the degree of the polynomial by counting the number of turning points and the general shape of the graph.
- Count the number of times the graph crosses the x-axis to estimate the number of real roots.

2. **Evaluate Root Distribution:**
- Use the graph to split real and complex roots. Remember, a polynomial of degree n has exactly n roots, combining both real and complex (accounting for multiplicity).

3. **Select Appropriate Answers:**
- Use the dropdown menus to select the degree, number of real roots, and number of complex roots for each example.

By analyzing these properties, you will better understand polynomial functions and their graphical behavior.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Explain why a polynomial function of odd degree must have at least one zero.
Based on the graph, determine the zeros of the function and multiplicities.
Sketch the graph of f(x)=x24x+3. Identify the vertex and x-intercepts.
For each graph, describe a polynomial function that could represent the graph. (Indicate the degree of the function and the sign of its leading coefficient.)
Create a function in which the domain is x2 .
How do you graph a piecewise function?
Graph f(x)=2x10. Picka set of5 ordered pairs using inputs x=2,1,5,6,9 and use linear regression to verify the function.
please help
What do we mean when we describe the graph of a polynomial function as smooth and continuous? Explain.
Not graded
What is meant by the degree of a polynomial function? Show an example of how we can classify a polynomial by degree. What are the four possible scenarios of end behavior for a polynomial function? Describe them and give an example of each. How is end behavior related to slope? Will a polynomial function always have the same number of zeros as its degree? How does this relate to multiplicity?
example of quadratic functions in polynomial function