To evaluate the function $f(x) = x^2 - 2x + 2$ at $x = 1.5$, we substitute $x = 1.5$ into the function:

$f(1.5) = (1.5)^2 - 2(1.5) + 2$

Now, let's compute each term:

1. Calculate $(1.5)^2$: $(1.5)^2 = 2.25$

2. Calculate $2 \times 1.5$: $2 \times 1.5 = 3$

3. Substitute these values back into the function: $f(1.5) = 2.25 - 3 + 2$

4. Simplify the expression: $f(1.5) = 2.25 - 3 + 2 = 1.25$

So, the value of the function $f(x)$ at $x = 1.5$ is:

$\boxed{1.25}$

Would you like more details or have any questions?

Here are some related questions for further exploration:

1. What is the vertex form of the quadratic function $f(x) = x^2 - 2x + 2$?
2. How do you find the roots of the quadratic function $f(x) = x^2 - 2x + 2$?
3. What is the axis of symmetry for the function $f(x) = x^2 - 2x + 2$?
4. How do you determine if a quadratic function opens upwards or downwards?
5. What is the minimum or maximum value of $f(x) = x^2 - 2x + 2$ and at what point does it occur?

Tip: When evaluating functions, carefully substitute values and simplify step-by-step to avoid mistakes.