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