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.

Learn how to evaluate the quadratic function f(x) = x² - 2x + 2 at x = 1.5 with step-by-step calculations. This guide covers algebraic concepts and function evaluation techniques, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation