**2021FA College Algebra (MATH-1314-71309)** --- **Homework: Sec. 1.2 HW** **Question 7, Domain Range...** **Part 1 of 2** Select Function 4 and use the Range and Domain sliders to identify the range and domain. Complete parts 1 and 2 below. Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. [Click here to launch the interactive figure.] **Part 1: What is the domain of the function?** (Type your answer in interval notation.) --- Options at the bottom of the page: - **Textbook** - **Ask My Instructor** - **Get More Help** **Title: Domain and Range of a Function** **Interactive Graph Explanation:** This educational tool visualizes the domain and range of a function. It includes the following features: 1. **Select Function Panel:** - Users can choose between four different functions using numbered buttons (1, 2, 3, 4). 2. **Domain and Range Sliders:** - Two sliders allow users to modify the domain and range values. The domain slider is currently set to -8, while the range slider is set to -5. 3. **Checkbox Options:** - Users can check "Show Equation" and "Show Grid" for a detailed view of the function's equation and grid lines on the graph. **Graph Details:** - The graph shows a blue curve representing the function, plotted on a coordinate grid. There are marked points that demonstrate changes in function intervals. - The x-axis and y-axis are labeled, providing reference points for values. **Function Box:** - An equation box is displayed on the graph: \[ f(x) = \begin{cases} x^2 & \text{if } x \leq -2 \\ \sqrt{x} & \text{if } -2 < x \leq 2 \\ 2 - x^3 & \text{if } 2 < x \leq 6 \end{cases} \] **Getting Started:** - Instructions guide users to select a function and adjust the domain and range using the sliders for interactive learning. Checking the "Show Equation" and "Show Grid" options provides additional insights for an engaging educational experience. Explore the other functions for comprehensive understanding.