Notice that these clues are about f '(x), not f(x).

Translate: As x approaches 2 from the right, f '(x) approaches +∞.

Interpretation: From the right, slope of f(x) gets more and more steep.

Translate: As x approaches 2 from the left, f '(x) approaches 0.

Interpretation: From the left, slope of f(x) gets less and less steep.