1. Complete the table below. Symbolic Rule f(x)=3x +5 Verbal Description The function f(x) The function g(x) squares the input, then multiplies that result by 2
1. Complete the table below. Symbolic Rule f(x)=3x +5 Verbal Description The function f(x) The function g(x) squares the input, then multiplies that result by 2
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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![# Educational Material: Understanding Function Descriptions
## 1. Complete the Table Below
This exercise involves filling out a table that transposes symbolic rules of functions into their corresponding verbal descriptions.
### Table:
| Symbolic Rule | Verbal Description |
|---------------|--------------------|
| \( f(x) = 3x + 5 \) | The function \( f(x) \) |
| | The function \( g(x) \) squares the input, then multiplies that result by 2 |
### Explanation of Entries:
1. **First Row - Symbolic Rule**:
- **Function**: \( f(x) \)
- **Symbolic Rule**: \( f(x) = 3x + 5 \)
- **Verbal Description**: The function \( f(x) \) takes an input number \( x \), multiplies it by 3, and then adds 5 to the result.
2. **Second Row - Verbal Description**:
- **Function**: \( g(x) \)
- **Verbal Description**: The function \( g(x) \) squares the input, then multiplies that result by 2.
- **Symbolic Rule**: To find the symbolic rule, let's denote the function \( g(x) \) as performing these operations:
1. Square the input: \( x^2 \)
2. Multiply the squared input by 2: \( 2x^2 \)
- Therefore, the symbolic rule can be written as:
\[
g(x) = 2x^2
\]
By completing the table, students will practice converting between symbolic rules and verbal descriptions of functions, reinforcing their understanding of function notation and operations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F406d348b-fbb7-4bba-911a-31fffdc94d1a%2F67040664-6967-4784-9f3d-71ee1bb734d2%2Fmz43qjl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Educational Material: Understanding Function Descriptions
## 1. Complete the Table Below
This exercise involves filling out a table that transposes symbolic rules of functions into their corresponding verbal descriptions.
### Table:
| Symbolic Rule | Verbal Description |
|---------------|--------------------|
| \( f(x) = 3x + 5 \) | The function \( f(x) \) |
| | The function \( g(x) \) squares the input, then multiplies that result by 2 |
### Explanation of Entries:
1. **First Row - Symbolic Rule**:
- **Function**: \( f(x) \)
- **Symbolic Rule**: \( f(x) = 3x + 5 \)
- **Verbal Description**: The function \( f(x) \) takes an input number \( x \), multiplies it by 3, and then adds 5 to the result.
2. **Second Row - Verbal Description**:
- **Function**: \( g(x) \)
- **Verbal Description**: The function \( g(x) \) squares the input, then multiplies that result by 2.
- **Symbolic Rule**: To find the symbolic rule, let's denote the function \( g(x) \) as performing these operations:
1. Square the input: \( x^2 \)
2. Multiply the squared input by 2: \( 2x^2 \)
- Therefore, the symbolic rule can be written as:
\[
g(x) = 2x^2
\]
By completing the table, students will practice converting between symbolic rules and verbal descriptions of functions, reinforcing their understanding of function notation and operations.
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