Checkpoint: Turning Points Solution

1. Sketch the equation. Include roots and turning points.
2. Name the relative minimum and maximum over the interval $\mathbf{[}\mathbf{–}\mathbf{1}\mathbf{,}\mathbf{ }\mathbf{3}\mathbf{]}$.

$f\left(x\right)=(4x+1)(x^2–2x+1)$

1. Sample:
   

2. Relative maximum: $(0.167, 1.157)$
   Relative minimum: $\left(1, 0\right)$