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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![### Polynomial Function Evaluation Example
When \( f(x) = x^2 + 4x + 3 \), evaluate \( f(-1) \).
\[ f(-1) = \]
*Enter your answer in the box provided.*
**Submit Question**
#### Explanation:
In this example, you are given a polynomial function \( f(x) \) and asked to evaluate it at \( x = -1 \). Follow these steps to find the answer:
1. Substitute \(-1\) for \( x \) in the function:
\[ f(-1) = (-1)^2 + 4(-1) + 3 \]
2. Calculate each term separately:
\[ (-1)^2 = 1 \]
\[ 4(-1) = -4 \]
3. Combine all terms:
\[ f(-1) = 1 - 4 + 3 \]
4. Finally, perform the arithmetic:
\[ f(-1) = 0 \]
So, \( f(-1) = 0 \).
*You can enter "0" into the provided box and click "Submit Question" to verify your solution.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd21c4d6b-d29a-46fe-bc39-340308e97d91%2F90257ba7-e932-4a4c-b156-b07ca2959631%2Fob6gwrg.jpeg&w=3840&q=75)
Transcribed Image Text:### Polynomial Function Evaluation Example
When \( f(x) = x^2 + 4x + 3 \), evaluate \( f(-1) \).
\[ f(-1) = \]
*Enter your answer in the box provided.*
**Submit Question**
#### Explanation:
In this example, you are given a polynomial function \( f(x) \) and asked to evaluate it at \( x = -1 \). Follow these steps to find the answer:
1. Substitute \(-1\) for \( x \) in the function:
\[ f(-1) = (-1)^2 + 4(-1) + 3 \]
2. Calculate each term separately:
\[ (-1)^2 = 1 \]
\[ 4(-1) = -4 \]
3. Combine all terms:
\[ f(-1) = 1 - 4 + 3 \]
4. Finally, perform the arithmetic:
\[ f(-1) = 0 \]
So, \( f(-1) = 0 \).
*You can enter "0" into the provided box and click "Submit Question" to verify your solution.*
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