Approximate the critical numbers of the function shown in the graph.

Question

Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.)

Approximate the critical numbers.

x=?

List the critical numbers at which each phenomenon occurs. (If an answer does not exist, enter DNE.)

relative maxima x=?

relative minima x=?

absolute maxima x=?

absolute minima x=?

Answer 1

Critical number at x=0 due to infinite derivative.

No relative min/max because you cannot define an open interval within the domain of f(x) containing x=-1 or 1.

No absolute min/max because holes in a graph are not in the range