Sketch the graph of a function continuous over all real numbers that satisfies both of the following properties. Homework Help ✎
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.