### Home > CALC3RD > Chapter Ch5 > Lesson 5.2.3 > Problem5-86

5-86.

Algebraically determine where the function $g$ given below is increasing, decreasing, concave up, and concave down.

• $g\left(x\right) = x^{3} – 2x^{2} + x – 1$

The function $f\left(x\right)$ is increasing when $f'(x)>0$, and it is decreasing when $f'(x)<0$.
The function is concave up when $f''(x)>0$, and it is concave down when $f''(x)<0$.