x,y are the options for pull downs. **Understanding Polynomial Functions through Graphs**The function $ f $ graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise.![Graph of Polynomial Function](URL_to_the_image)**Graph Explanation:**The graph provided shows a fourth-degree polynomial function. The x-axis ranges from 0 to 7 and is marked by vertical lines. The y-axis ranges from -3 to 7 and is marked by horizontal lines. The graph crosses the x-axis at four points, indicating the roots of the polynomial. Peaks and valleys are evident, reflecting the degree of the polynomial.**Exercise:**1. **The Solutions of the Equation $ f(x) = 0 $:** The solutions of the equation $ f(x) = 0 $ are the $\boxed{x}$-intercepts of the graph of $ f $. 2. **Solving the Inequality $ f(x) \geq 0 $:** The solution of the inequality $ f(x) \geq 0 $ is the set of $ x $-values at which the graph of $ f $ is on or above the $\boxed{x}$-axis.3. **Required Steps:** - From the graph of $ f $, we find that the solutions of the equation $ f(x) = 0 $ are $ x = \boxed{\text{___________}} $. (Enter your answers as a comma-separated list.) - The solution of the inequality $ f(x) \geq 0 $ is $ \boxed{\text{___________}} $. (Enter your answer using interval notation.)Understanding these steps is crucial to mastering polynomial functions and their properties, aiding in solving both equations and inequalities derived from them.For detailed analysis, always consider identifying the exact points where the function intersects the x-axis and how the function behaves around these intercepts. This practice is essential in comprehending the complete behavior of polynomial functions graphically.---Incorporate this exercise into your studies to enhance your grasp of polynomial functions and their graphical interpretations, an essential component in higher-level algebra and calculus.

Name: x,y are the options for pull downs. **Understanding Polynomial Functio
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Description: x,y are the options for pull downs. **Understanding Polynomial Functions through Graphs**The function $ f $ graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise.![Graph of Polynomial Function](URL_to_

Given: The graph of fx Find the following: The solution of fx=0 on which intercepts of the graph of…

Math

Calculus

as of the equation f(x) = 0 are the ? : -intercepts of the graph of f. The solution of the inequality f(: aph of f we find that the solutions of the equation f(x) = 0 are x =| (Enter your answ of the inequality f(x) 20 is (Enter your answer using interval notation.)

as of the equation f(x) = 0 are the ? : -intercepts of the graph of f. The solution of the inequality f(: aph of f we find that the solutions of the equation f(x) = 0 are x =| (Enter your answ of the inequality f(x) 20 is (Enter your answer using interval notation.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

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Topic Video

Question

x,y are the options for pull downs.

**Understanding Polynomial Functions through Graphs**

The function $ f $ graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise.

![Graph of Polynomial Function](URL_to_the_image)

**Graph Explanation:**
The graph provided shows a fourth-degree polynomial function. The x-axis ranges from 0 to 7 and is marked by vertical lines. The y-axis ranges from -3 to 7 and is marked by horizontal lines. The graph crosses the x-axis at four points, indicating the roots of the polynomial. Peaks and valleys are evident, reflecting the degree of the polynomial.

**Exercise:**
1. **The Solutions of the Equation $ f(x) = 0 $:**
The solutions of the equation $ f(x) = 0 $ are the $\boxed{x}$-intercepts of the graph of $ f $.

2. **Solving the Inequality $ f(x) \geq 0 $:**
The solution of the inequality $ f(x) \geq 0 $ is the set of $ x $-values at which the graph of $ f $ is on or above the $\boxed{x}$-axis.

3. **Required Steps:**
- From the graph of $ f $, we find that the solutions of the equation $ f(x) = 0 $ are $ x = \boxed{\text{___________}} $. (Enter your answers as a comma-separated list.)
- The solution of the inequality $ f(x) \geq 0 $ is $ \boxed{\text{___________}} $. (Enter your answer using interval notation.)

Understanding these steps is crucial to mastering polynomial functions and their properties, aiding in solving both equations and inequalities derived from them.

For detailed analysis, always consider identifying the exact points where the function intersects the x-axis and how the function behaves around these intercepts. This practice is essential in comprehending the complete behavior of polynomial functions graphically.

---

Incorporate this exercise into your studies to enhance your grasp of polynomial functions and their graphical interpretations, an essential component in higher-level algebra and calculus.

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Step 1: Introduction and definition of intercepts

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Step 3: To find the axis at f(x) is greater than or equal to zero

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