Find the minimum or maximum value of the quadratic function. f(x) = 4 + 3x - x² X maximum value O minimum value Find the x-value at which the minimum or maximum value occurs. X = X

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question:**

Find the minimum or maximum value of the quadratic function.

\[ f(x) = 4 + 3x - x^2 \]

- [ ] maximum value
- [x] minimum value ✔️

**Explanation:**

The quadratic function \( f(x) = 4 + 3x - x^2 \) is in standard form, where the coefficient of \( x^2 \) is negative, indicating that the parabola opens downwards. Therefore, the function has a maximum value, not a minimum.

**Question:**

Find the x-value at which the minimum or maximum value occurs.

\[ x = \]

- The answer provided was incorrect, as indicated by the red cross (✖️).
Transcribed Image Text:**Question:** Find the minimum or maximum value of the quadratic function. \[ f(x) = 4 + 3x - x^2 \] - [ ] maximum value - [x] minimum value ✔️ **Explanation:** The quadratic function \( f(x) = 4 + 3x - x^2 \) is in standard form, where the coefficient of \( x^2 \) is negative, indicating that the parabola opens downwards. Therefore, the function has a maximum value, not a minimum. **Question:** Find the x-value at which the minimum or maximum value occurs. \[ x = \] - The answer provided was incorrect, as indicated by the red cross (✖️).
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