Let $f\left(x\right) = x^{2}$. 

1. Find $x_{0}$, $x_{1}$, $x_{2}$, $x_{3}$, and $x_{4}$ if the interval $2 ≤ x ≤ 5$ is divided into four equal pieces.

   Hint (a):

   $\text{Width between each piece}=\frac{\text{length of the interval}}{\text{Number of pieces}}$

2. Find $f\left(x_{2}\right)$ and $f\left(x_{4}\right)$.

   Hint (b):

   Use the information you found for $x_{2}$ and $x_{4}$ above to substitute into the given function.