IMathAS-libretexts

Let

\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{ccc} {4}{x}+{24}&\text{if}&{x}<-{4}\\\sqrt{{{x}+{68}}}&\text{if}&{x}>-{4}\\{2}&\text{if}&{x}=-{4}\end{array}\right.}

Select all statements below that you agree with.
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$\displaystyle {f{{\left(-{4}\right)}}}$ is defined.
$\displaystyle \lim_{{{x}\to-{4}}}\ \ {f{{\left({x}\right)}}}$ exists.
$\displaystyle \lim_{{{x}\to-{4}}}\ \ {f{{\left({x}\right)}}}={f{{\left(-{4}\right)}}}$ .
The function is continuous at x = -4.
The function is not continuous at x = -4.