In: Math
Determine the intervals on which the graph of ?=?(?) is concave up or concave down, and find the points of inflection.
?(?) = (?^(2) − 17) ?^?
Provide intervals in the form (∗,∗).
Use the symbol ∞ for infinity, ∪ for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter ∅
if the interval is empty.
Provide points of inflection as a comma‑separated list of (?,?)
ordered pairs. If the function does not have any inflection points, enter DNE.
Use exact values for all responses.
? is concave up when ?∈
? is concave down when ?∈
points of inflection: