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

5-26.

Examine the mystery functions described below. Homework Help ✎

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.*f*'(2) = 0 means that there COULD be a local maximum or local minimum at*x*= 2.*f*''(2) < 0 means that*f*(*x*) is concave down at*x*= 2, confirming that*x*= 2 is a local ________________________.A different mystery function has all of the following properties:

,for, and for . Sketch 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 ___________________.