SOLUTION: If k(x) is a function.What is the relationship between k(x) and k(-x)

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Question 957400: If k(x) is a function.What is the relationship between k(x) and k(-x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let take an example:
graph k%28x%29+=+x%5E3
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3%29+

now, pay good attention what will happen if I put -x in for x:

k%28-x%29+=%28-x%29%5E3=+-x%5E3
see it on a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%5E3%29+
This transformation rotated the original graph around the y-axis. Any points on the y-axis stay on the y-axis; it's the points off the axis that switch sides. This is always true:
k%28-x%29 is the mirror+image of k%28x%29, as reflected in the y-axis.
see both on a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E3%2C+-x%5E3%29+