Locate relative maximum and relative minimum points on the graph. State whether each relative extremum point is a turning point. (4, 4) 4+ (-2, 3) 2+ 1+ to -2 -10 1 4 -1- -2. (2,-2) -3+ -4+ Select one: -O A. (-2, 3), (1, 2), and (4, 4) are relative maxima points and turning points. (2,-2) is a relative minimum point and a turning point. O B. (-2, 3), (1, 2), and (4, 4) are relative maxima points and turning points. (0,0) and (2, -2) are relative minima points and turning points. OC. (4, 4) is a relative maximum point and a turning point. (2,-2) is a relative minimum point and a turning point. OD. (-2, 3), (1,2), and (4, 4) are relative maxima points. (0, 0) and (2, -2) are relative minima points.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Graph Analysis: Relative Extrema and Turning Points**

**Problem Statement:**
Locate relative maximum and relative minimum points on the graph. State whether each relative extremum point is a turning point.

**Graph Description:**
- A quadratic-style curve is plotted on a Cartesian plane with the x-axis ranging from -5 to 5 and the y-axis from -5 to 5.
- The graph has notable points marked as follows:
  - Relative maximum at (-2, 3)
  - Relative maximum at (1, 2)
  - Relative maximum at (4, 4)
  - Relative minimum at (2, -2)
  - The curve also passes through the origin at (0, 0).

**Options:**
- **A:** \((-2, 3)\), \((1, 2)\), and \((4, 4)\) are relative maxima points and turning points. \((2, -2)\) is a relative minimum point and a turning point.
- **B:** \((-2, 3)\), \((1, 2)\), and \((4, 4)\) are relative maxima points and turning points. \((0, 0)\) and \((2, -2)\) are relative minima points and turning points.
- **C:** \((4, 4)\) is a relative maximum point and a turning point. \((2, -2)\) is a relative minimum point and a turning point.
- **D:** \((-2, 3)\), \((1, 2)\), and \((4, 4)\) are relative maxima points. \((0, 0)\) and \((2, -2)\) are relative minima points.
Transcribed Image Text:**Graph Analysis: Relative Extrema and Turning Points** **Problem Statement:** Locate relative maximum and relative minimum points on the graph. State whether each relative extremum point is a turning point. **Graph Description:** - A quadratic-style curve is plotted on a Cartesian plane with the x-axis ranging from -5 to 5 and the y-axis from -5 to 5. - The graph has notable points marked as follows: - Relative maximum at (-2, 3) - Relative maximum at (1, 2) - Relative maximum at (4, 4) - Relative minimum at (2, -2) - The curve also passes through the origin at (0, 0). **Options:** - **A:** \((-2, 3)\), \((1, 2)\), and \((4, 4)\) are relative maxima points and turning points. \((2, -2)\) is a relative minimum point and a turning point. - **B:** \((-2, 3)\), \((1, 2)\), and \((4, 4)\) are relative maxima points and turning points. \((0, 0)\) and \((2, -2)\) are relative minima points and turning points. - **C:** \((4, 4)\) is a relative maximum point and a turning point. \((2, -2)\) is a relative minimum point and a turning point. - **D:** \((-2, 3)\), \((1, 2)\), and \((4, 4)\) are relative maxima points. \((0, 0)\) and \((2, -2)\) are relative minima points.
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