D 4. Which graph represents h (x) ≤-2√x-1? O O -5 -1 -3 -3 -2 -2 H -1 -1 0 N Y 0 4 0 10 2 0 2 10 1

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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**Problem 4: Which graph represents \( h(x) \leq -2\sqrt{x} - 1 \)?**

This image features three graphs, each depicting a shaded region corresponding to the inequality \( h(x) \leq -2\sqrt{x} - 1 \). The choice is to determine which graph accurately represents this inequality.

**Graph Descriptions:**

1. **Graph 1 (Top):**
   - The curve appears as a square root function that opens downward.
   - The shading is above the curve.
   - The graph originates from the right and curves downward to the left within a limited positive x and negative y range.

2. **Graph 2 (Middle):**
   - The curve resembles an upside-down square root function.
   - The shading is below the curve.
   - It starts from the x-axis moving to the left and downwards.

3. **Graph 3 (Bottom):**
   - Similar to Graph 2, this curve also reflects an inverted square root function.
   - The shading is below the curve.
   - Extends from the x-axis moving down and slightly to the right.

The task requires identifying which graph accurately represents the inequality \( h(x) \leq -2\sqrt{x} - 1 \) through observing the direction and position of the shaded region relative to the square root curve.
Transcribed Image Text:**Problem 4: Which graph represents \( h(x) \leq -2\sqrt{x} - 1 \)?** This image features three graphs, each depicting a shaded region corresponding to the inequality \( h(x) \leq -2\sqrt{x} - 1 \). The choice is to determine which graph accurately represents this inequality. **Graph Descriptions:** 1. **Graph 1 (Top):** - The curve appears as a square root function that opens downward. - The shading is above the curve. - The graph originates from the right and curves downward to the left within a limited positive x and negative y range. 2. **Graph 2 (Middle):** - The curve resembles an upside-down square root function. - The shading is below the curve. - It starts from the x-axis moving to the left and downwards. 3. **Graph 3 (Bottom):** - Similar to Graph 2, this curve also reflects an inverted square root function. - The shading is below the curve. - Extends from the x-axis moving down and slightly to the right. The task requires identifying which graph accurately represents the inequality \( h(x) \leq -2\sqrt{x} - 1 \) through observing the direction and position of the shaded region relative to the square root curve.
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