Name: _________________ Date: _________________ Desmos Investigation: Graphing functions of x Use Desmos, an online graphing resource, to graph the following functions. Describe what the functions look like, in your own terms, and sketch a rough graph of the function. https://www.desmos.com/calculator 1. 𝑦 = 𝑥 a. What does the function look like? b.Sketch the graph of the function: 2. 𝑦 = 𝑥 2 What does the function look like? b.Sketch the graph of the function: 3. 𝑦 = 𝑥 3 a. What does the function look like? b.Sketch the graph of the function: 4. 𝑦 = 𝑥 4 a. What does the function look like? b.Sketch the graph of the function: 5. Choose your own function in the form of x raised to the power of some number (example: 𝑥 2 , 𝑥 15 , 𝑥 82 ). Before graphing it, hypothesize what it might look like. Write your hypothesis here: Graph the function. What does it actually look like? Sketch your graph here: From this quest, what can you say about graphs of x (how do the graphs of x change when you raise it to different powers, for example, how is the graph of 𝑥 2 different from 𝑥 82 )?