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KB Technology Assignment

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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 )?
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