I'm not sure where to start with this question. If a limit was given, I could solve it but without it given, I am completely lost...(adsbygoogle = window.adsbygoogle || []).push({});

State on which intervals the function [tex]f[/tex] defined by [tex]f(x) = \left\{\begin{array}{cc}|x + 1|,&x < 0\\x^2 + 1,&x \geq 0\end{array}\right.[/tex] is:

i) continuous

ii) differentiable

Find the derivative [tex]f'(x)[/tex] at all points where the function is differentiable.

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# Finding function continuity and derivatives

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