### Home > CALC > Chapter Ch3 > Lesson 3.4.1 > Problem 3-148

3-148.

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.