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Tagged with real-numbers functions
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Possible values of 'a' ? $f(x)=(x^2+ 2 ax +a^2-1)^{\frac{1}{4}}$
If $$f(x)=(x^2+ 2 ax +a^2-1)^{\frac{1}{4}}$$ has its domain and range such that their union is set of real numbers,then what should be the possible values of a?
What can be the approach?
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Are all piecewise functions formed of finite pieces when domain restricted to an interval?
I'm working with infinite pieces piecewise functions with real domain and co domain.
I'm wondering if there is any function that might be definable that will not have finite pieces when domain is ...