What would be the equation for the straight lines, such that when we input that we can see a similar figure on desmos?
I had thought because its a straight line, it would be to to the power of 1. Thus making it odd.
Where did I go wrong here?
The concept of odd and even functions is not based on the power.
You can go through this video: Even & Odd functions - PrepSwift
Thank you, this helps.
Could you also please share an example of what the 2 lines would look like in the equation form?
For polynomials, it can be useful to think on those lines. But it’s more sufficient than necessary.
The top curve would be –> y = x^2
And the bottom line would be –> y = -|x|
Thanks!
So here x is to the power of 1. Which is one of the criteria for determining odd/even functions. That’s the logic by which I thought it was an odd function.
What’s wrong in my understanding here?
x does have degree 1, yes. However, the degree of something like -|x| doesn’t make sense, since the concept of degree applies only to polynomials in your case.
In general, you should try to rely on the formal definitions of even/odd functions:
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Even: f(-x) = f(x) for all x in the domain of f
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Odd: f(-x) = -f(x) for all x in the domain of f
Oh okay. Thanks!