When f(x) = x² + 4x + 3, evaluate f( – 1) )

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 52HP
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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.*

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#### 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.*
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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