ify the coordinates of any local and absolute extreme points and inflection points. Graph the function. x4-2x2-4 x² (x² -- 2) – 4 fy the coordinates of any local maximum points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The local maximum point(s) is/are (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) There are no local maximum points.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Task: Identify Extreme and Inflection Points**

**Objective:**
Identify the coordinates of any local and absolute extreme points and inflection points for the function. Graph the function.

**Function:**
\[ y = x^4 - 2x^2 - 4 = x^2(x^2 - 2) - 4 \]

**Instructions:**
Identify the coordinates of any local maximum points. Select the correct choice below, and if necessary, fill in the answer box to complete your choice.

**Choices:**
- **A.** The local maximum point(s) is/are: [Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.]
  
- **B.** There are no local maximum points.
Transcribed Image Text:**Task: Identify Extreme and Inflection Points** **Objective:** Identify the coordinates of any local and absolute extreme points and inflection points for the function. Graph the function. **Function:** \[ y = x^4 - 2x^2 - 4 = x^2(x^2 - 2) - 4 \] **Instructions:** Identify the coordinates of any local maximum points. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. **Choices:** - **A.** The local maximum point(s) is/are: [Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.] - **B.** There are no local maximum points.
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