Radical Functions and Their Graphs

In this activity, you will gain experience graphing radical functions and demonstrate your understanding of radical functions by describing their main properties.

Graph of the equation y equals the cube root of the variable x, plus the quantity one

Let’s begin our discussion:

For this activity, you will need to create and post a graph. The easiest way to plot points and graph a function and then generate an image of the work is to use Desmos, a free, online graphing calculator (Links to an external site.). The following information will help you with this work:

Written directions on using the online calculatorPreview the document [PDF, 409 KB]
Video directions on using the online calculator [Video, 3:32 mins]
Create a function of the form f of x equals the ath root of (b times x) plus c” title=”f of x equals the ath root of (b times x) plus cto plot and graph. Make sure it is different than any already posted. Post your function in your initial post with the subject line: My radical function [your name].

In your post:

Create a table containing at least four ordered pairs (x, y) that are on the curve
Graph the radical function
Include the table you created
Include the image of your graph (refer to the calculator directions above)
Describe the general behavior of the graph
Determine and include the range and domain of the radical function
Write the function in equivalent form using rational exponents