### Home > CALC > Chapter 5 > Lesson 5.1.3 > Problem 5-26

5-26.

Examine the mystery functions described below.

has all of the following properties:,and. Assuming the function is continuous, sketch a small portion of the mystery function near. Describe the function at this point.means that there COULD be a local maximum or local minimum at.means thatis concave down at, confirming thatis a local ________________________.A different mystery function has all of the following properties:

,for, and for. Draw a sketch of nearand state a conclusion.If slope is positive on the left side of a point and negative on the right side, the that point is the location of a local ___________________.