To evaluate the function \( f(x) = -2x^2 + 7x + 5 \) at \( x = 0 \), substitute \( x = 0 \) into the function:

\[
f(0) = -2(0)^2 + 7(0) + 5
\]

Simplifying the expression:

\[
f(0) = -2(0) + 0 + 5 = 5
\]

So, \( f(0) = 5 \).

Would you like more details or have any questions?

Here are some related questions you might consider:

1. What is \( f(1) \) for the same function?
2. What are the x-intercepts of the function \( f(x) \)?
3. How does the negative coefficient of \( x^2 \) affect the shape of the parabola?
4. What is the maximum or minimum value of \( f(x) \)?
5. How does the function change if the coefficient of \( x \) is altered?

**Tip:** When dealing with quadratic functions, the sign of the coefficient of \( x^2 \) determines whether the parabola opens upwards (positive) or downwards (negative).

Learn how to evaluate the function f(x) = -2x^2 + 7x + 5 at x = 0 with a step-by-step solution. This problem involves polynomial function evaluation and is suitable for high school students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation