Square root function worksheet

Name: Date: Algebra 2B Unit 2 Radical Functions Portfolio Turn this document into unit 2 Sample Work drop box. The 5 Gizmo questions at the end will be scored for a sample work grade. https://www.explorelearning.com Class Enrollment Code: Will be in lesson modifications and sent by teacher. Vocabulary: cube root, domain, endpoint, inflection point, radical function, range, square root Feel free to print the vocabulary sheet found in the lesson information link on the Gizmo. Prior Knowledge Questions (Do these BEFORE using the Gizmo.) 1. The square root of a number is a value you can square to get that number. Find the square roots of the following numbers, if they exist. If there is no square root, write “none.” 9 9  49 49 2. The cube root of a number is a value you can cube to get that number. Find the cube roots of the following numbers. 3 3 3 8  64 8 64 3. Cube roots of negative numbers exist in the set of real numbers, but square roots of 3 negative numbers do not. Explain why this is true. Gizmo Warm-up – LEARN how to use the Gizmo Functions that include square roots or cube roots are examples of radical functions. In the Radical Functions Gizmo™, you will explore the graphs and equations of square root and cube root functions. 1. In the Gizmo, be sure Square root function is selected. Also be sure a = 1, h = 0, and k = 0 so y = x is graphed. (To set a value, drag the slider, or type a new value in the text field and hit Enter.) A. Drag the h slider. How does the graph change? B. Drag the k slider. How does the graph change? 2. Select Cube root function. Set a to 1, h to 0, and k to 0 to graph y = 3 x. A. Drag the h slider. How does the graph change? B. Drag the k slider.