### Home > CALC > Chapter 3 > Lesson 3.3.4 > Problem 3-130

3-130.

When a function *f*(*x*) is increasing and concave up: *f* '(*x*) > 0 and *f* "(*x*) > 0.

When a function *f*(*x*) is increasing and concave down: *f* '(*x*) _________ 0 and *f* "(*x*) __________ 0.

When a function *f*(*x*) is decreasing and concave up: *f* '(*x*)_________ 0 and *f* "(*x*) __________ 0.

When a function *f*(*x*) is decreasing and concave down: *f* '(*x*) _________ 0 and *f* "(*x*) __________ 0.