Analyzing graphs of functions and relations with domain and range determination.

It looks like you've uploaded a page from a math textbook or worksheet titled "1.2 Practice: Analyzing Graphs of Functions and Relations". The page contains several problems involving graphs of functions and relations, asking you to analyze them based on properties such as domain, range, symmetry, increasing/decreasing behavior, and whether they represent functions.

Since I can't view images directly, I’ll need you to describe the specific problems or provide the text and images in detail so I can help solve them.

However, I can guide you through how to approach these types of problems based on typical content in such sections:

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🔍 Common Tasks in "Analyzing Graphs of Functions and Relations":

#### 1. Determine if the graph represents a function
- Use the Vertical Line Test: If any vertical line intersects the graph more than once, it's not a function.
- If every vertical line intersects at most once → it is a function.

#### 2. Find the Domain and Range
- Domain: All possible x-values (left to right).
- Range: All possible y-values (bottom to top).
- Look at the extent of the graph along the axes.

#### 3. Identify Symmetry
- Even Function: Symmetric about the y-axis → $ f(-x) = f(x) $
- Odd Function: Symmetric about the origin → $ f(-x) = -f(x) $
- Neither: No symmetry

#### 4. Increasing/Decreasing Intervals
- Increasing: As x increases, y increases.
- Decreasing: As x increases, y decreases.
- Use intervals on the x-axis.

#### 5. Relative Maxima and Minima
- Peaks (local max) and valleys (local min) on the graph.

#### 6. Intercepts
- x-intercept(s): Where the graph crosses the x-axis ($ y = 0 $)
- y-intercept: Where the graph crosses the y-axis ($ x = 0 $)

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📌 Example Problem (Hypothetical Based on Typical Content):

> Problem 1:
> Is the graph a function? State the domain and range.

> *(Graph shows a parabola opening upward with vertex at (0, -1), crossing x-axis at (-1,0) and (1,0))*

#### ✔ Solution:
- Function? Yes – passes vertical line test.
- Domain: All real numbers → $ (-\infty, \infty) $
- Range: From vertex up → $ [-1, \infty) $

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If you can describe the specific graphs or problems from your image (e.g., “Problem 1 has a V-shaped graph”, or “Problem 2 shows a circle”), I can walk you through each step-by-step.

Please reply with:
- A description of each problem
- Or copy-paste the text and descriptions
- Or list what you're supposed to do for each graph

Then I’ll solve and explain each one!