\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f\) be the function defined on \(\mathbb{R}\) by \(f(x) = |x^2 - 1|\).
The graph of \(f\) is shown below:
  1. Determine the domain of continuity of \(f\). Justify your answer.
  2. Based on the graph, is the function \(f\) differentiable at \(x = -1\) and at \(x = 1\)? Justify.

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.