2 -8 -6 -2 이 2 6 8 -2 + 3.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Part A: Write the domain of f in interval notation. 

Part B: Write the range of f in interval notation. 

Part C: Find f(-4)

Part D: Find f(-2)

Part E: Find f(2)

Part F: Find the zeros of the function (the x values that make f(x)=0). If you have more than one answer, separate them with a comma. 

Part G:

Find all the x -values that make the function positive (f(x)>0 when x=?). Enter your answer in interval notation. Enter −∞ as -INF, ∞ as INF, and ∪ (union) as U.

Enter the values of x from smallest to largest.

Part H:

Find all the x -values that make the function negative (f(x)<0 when x=?) . Enter your answer in interval notation. Enter −∞ as -INF, ∞ as INF, and ∪ (union) as U.

Enter the values of x from smallest to largest.

Part I: Find all y -intercepts of the function and list them as ordered pairs. If you have more than one answer, separate them with a comma.

Part J: Find all x -intercepts of the function and list them as ordered pairs. If you have more than one answer, separate them with a comma.

Given the graph of the function \( f \), find the following:

**Graph Description:**

The graph depicts a continuous curve that is plotted on a Cartesian plane. It resembles a sinusoidal curve, starting at a point around \( x = -4 \), descending to a local minimum near \( y = -3 \) at \( x \approx -2 \), then rising to cross the x-axis at the origin. From there, it peaks at a local maximum close to \( y = 3 \) around \( x = 2 \), before descending again to cross the x-axis near \( x = 4 \). The graph is highlighted in red and key points are marked with red dots.

**Axes Details:**

- The x-axis ranges from \(-8\) to \(8\).
- The y-axis ranges from \(-3\) to \(3\).

**Instructions:**

Write the domain of \( f \) in interval notation. Enter \(-\infty\) as -INF, \(\infty\) as INF, and \(\cup\) (union) as U.
Transcribed Image Text:Given the graph of the function \( f \), find the following: **Graph Description:** The graph depicts a continuous curve that is plotted on a Cartesian plane. It resembles a sinusoidal curve, starting at a point around \( x = -4 \), descending to a local minimum near \( y = -3 \) at \( x \approx -2 \), then rising to cross the x-axis at the origin. From there, it peaks at a local maximum close to \( y = 3 \) around \( x = 2 \), before descending again to cross the x-axis near \( x = 4 \). The graph is highlighted in red and key points are marked with red dots. **Axes Details:** - The x-axis ranges from \(-8\) to \(8\). - The y-axis ranges from \(-3\) to \(3\). **Instructions:** Write the domain of \( f \) in interval notation. Enter \(-\infty\) as -INF, \(\infty\) as INF, and \(\cup\) (union) as U.
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