The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if possible. Part 1 of 4 (a) f(x) <0 The solution set is Part 2 of 4 (b) f(x) ≤0 The solution set is Part 3 of 4 (c) f(x) > 0 The solution set is 1 LE (0.0) [0.0) (0,0) (0,0) 0 X 8 y = f(x) X -8 -8 (0.0) (0.0) (0.0) (0,0) 0 DVD QUO 50 5 0 5 (0.0) (0,0] (0.0)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 4CYU
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**Graph Analysis and Inequality Solutions**

The graph of \(y = f(x)\) is provided. Your task is to solve the given inequalities and write the solution set in interval notation, if possible.

---
### Graph Description

The displayed graph shows the function \( y = f(x) \). It includes:
- A curve extending from the upper right quadrant to the lower left quadrant.
- Two asymptotes; one vertical and one horizontal, intersecting at their respective points.

The function resembles a hyperbola centered around these asymptotes.

---

### Part 1 of 4
**(a) \( f(x) < 0 \)**

**The solution set is:** \[ \boxed{} \]

A keypad is provided for input:
- Interval notation symbols: \([,], (,)\)
- Infinity symbols: \(\infty, -\infty\)
- Numeric intervals

---

### Part 2 of 4
**(b) \( f(x) \leq 0 \)**

**The solution set is:** \[ \boxed{} \]

A keypad is provided for input:
- Interval notation symbols: \([,], (,)\)
- Infinity symbols: \(\infty, -\infty\)
- Numeric intervals

---

### Part 3 of 4
**(c) \( f(x) > 0 \)**

**The solution set is:** \[ \boxed{} \]

A keypad is provided for input:
- Interval notation symbols: \([,], (,)\)
- Infinity symbols: \(\infty, -\infty\)
- Numeric intervals

---

### Part 4 of 4
**(d) \( f(x) \geq 0 \)**

**The solution set is:** \[ \boxed{} \]

A keypad is provided for input:
- Interval notation symbols: \([,], (,)\)
- Infinity symbols: \(\infty, -\infty\)
- Numeric intervals

---

Use the graph to determine the intervals where each inequality holds true and input the corresponding interval notation accurately.

---
Transcribed Image Text:--- **Graph Analysis and Inequality Solutions** The graph of \(y = f(x)\) is provided. Your task is to solve the given inequalities and write the solution set in interval notation, if possible. --- ### Graph Description The displayed graph shows the function \( y = f(x) \). It includes: - A curve extending from the upper right quadrant to the lower left quadrant. - Two asymptotes; one vertical and one horizontal, intersecting at their respective points. The function resembles a hyperbola centered around these asymptotes. --- ### Part 1 of 4 **(a) \( f(x) < 0 \)** **The solution set is:** \[ \boxed{} \] A keypad is provided for input: - Interval notation symbols: \([,], (,)\) - Infinity symbols: \(\infty, -\infty\) - Numeric intervals --- ### Part 2 of 4 **(b) \( f(x) \leq 0 \)** **The solution set is:** \[ \boxed{} \] A keypad is provided for input: - Interval notation symbols: \([,], (,)\) - Infinity symbols: \(\infty, -\infty\) - Numeric intervals --- ### Part 3 of 4 **(c) \( f(x) > 0 \)** **The solution set is:** \[ \boxed{} \] A keypad is provided for input: - Interval notation symbols: \([,], (,)\) - Infinity symbols: \(\infty, -\infty\) - Numeric intervals --- ### Part 4 of 4 **(d) \( f(x) \geq 0 \)** **The solution set is:** \[ \boxed{} \] A keypad is provided for input: - Interval notation symbols: \([,], (,)\) - Infinity symbols: \(\infty, -\infty\) - Numeric intervals --- Use the graph to determine the intervals where each inequality holds true and input the corresponding interval notation accurately. ---
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