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Graphs of Functions - Exercise 1

For the function f(x) = x4 - 4x2, solve x4 - 4x2 = 0 in order to find the x-intercepts, justifying steps in finding these intercepts. Find points on each side of each x-intercept, placing values in the table below.  Graph this function on your graphing calculator. Be able to explain why f(x) is even, show the points you generated, and show a sketch of the graph.  Is f(x) an even function? Why or why not?
 

STATEMENT JUSTIFICATION
f(x) = x4 - 4x2
Solve x4 - 4x2 = 0

 

 

 

 

 

 

 

X-Value Y-Value
 

 

 

 

 

 

 

 

 
Given

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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