Question: Which is a table of ordered pairs defined by y = -4x + 2 ### Function Tables in MathematicsBelow are several tables depicting different functions through sets of input values $ x $ and their corresponding output values $ f(x) $. Each table represents a unique function.#### Table 1| $ x $ | $ f(x) $ ||:-------:|:----------:|| 0 | 2 || 2 | -6 || 4 | -14 || 6 | -22 |**Description:** This table represents a function where the output decreases with increasing input values. As $ x $ increases, $ f(x) $ becomes more negative.#### Table 2| $ x $ | $ f(x) $ ||:-------:|:----------:|| 3 | 8 || 2 | 12 || 4 | -14 || 7 | -22 |**Description:** This table depicts a function with non-monotonic behavior, meaning the output values do not uniformly increase or decrease with the input values.#### Table 3| $ x $ | $ f(x) $ ||:-------:|:----------:|| 0 | 4 || 2 | 8 || 4 | -14 || 6 | 16 |**Description:** This function shows an interesting pattern where the outputs start off positive, become negative, and then become positive again. It indicates a more complex relationship between $ x $ and $ f(x) $.#### Table 4| $ x $ | $ f(x) $ ||:-------:|:----------:|| 0 | 2 || 2 | 16 || 4 | -14 || 6 | -22 |**Description:** In this table, the function produces a positive output at $ x = 0 $ and $ x = 2 $, but the output decreases sharply to negative values afterward.### Analyzing Function TablesEach of these tables represents a different function with its unique characteristics. When analyzing such tables, it's essential to observe the patterns in the output values and how they change as the input values change. This can help in understanding the behavior of the function and might provide The table below represents a function $ f(x) $ with a set of given inputs $ x $ and their corresponding outputs $ f(x) $.| $ x $ | $ f(x) $ ||-----|--------|| 5 | 12 || 2 | 16 || 4 | -14 || 6 | -22 |This table indicates how the function $ f(x) $ maps specific input values to their respective output values. Here’s the interpretation:- When $ x $ is 5, $ f(x) $ is 12.- When $ x $ is 2, $ f(x) $ is 16.- When $ x $ is 4, $ f(x) $ is -14.- When $ x $ is 6, $ f(x) $ is -22.To understand the behavior of the function, one could plot these points on a graph to see the pattern or trend, analyze the mathematical relationship between the input and output values, or use them for further mathematical calculations or modeling.

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Description: Question: Which is a table of ordered pairs defined by y = -4x + 2 ### Function Tables in MathematicsBelow are several tables depicting different functions through sets of input values $ x $ and their corresponding output values $ f(x) $. Each ta

Given : y = -4x + 2 Put x = 0 , y = 2 Put x = 2 , y = -8 + 2 = -6 Put x…

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Which is a table of ordered pairs defined by y = -4x + 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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Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.

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Question: Which is a table of ordered pairs defined by y = -4x + 2

### Function Tables in Mathematics

Below are several tables depicting different functions through sets of input values $ x $ and their corresponding output values $ f(x) $. Each table represents a unique function.

#### Table 1
| $ x $ | $ f(x) $ |
|:-------:|:----------:|
| 0 | 2 |
| 2 | -6 |
| 4 | -14 |
| 6 | -22 |

**Description:**
This table represents a function where the output decreases with increasing input values. As $ x $ increases, $ f(x) $ becomes more negative.

#### Table 2
| $ x $ | $ f(x) $ |
|:-------:|:----------:|
| 3 | 8 |
| 2 | 12 |
| 4 | -14 |
| 7 | -22 |

**Description:**
This table depicts a function with non-monotonic behavior, meaning the output values do not uniformly increase or decrease with the input values.

#### Table 3
| $ x $ | $ f(x) $ |
|:-------:|:----------:|
| 0 | 4 |
| 2 | 8 |
| 4 | -14 |
| 6 | 16 |

**Description:**
This function shows an interesting pattern where the outputs start off positive, become negative, and then become positive again. It indicates a more complex relationship between $ x $ and $ f(x) $.

#### Table 4
| $ x $ | $ f(x) $ |
|:-------:|:----------:|
| 0 | 2 |
| 2 | 16 |
| 4 | -14 |
| 6 | -22 |

**Description:**
In this table, the function produces a positive output at $ x = 0 $ and $ x = 2 $, but the output decreases sharply to negative values afterward.

### Analyzing Function Tables

Each of these tables represents a different function with its unique characteristics. When analyzing such tables, it's essential to observe the patterns in the output values and how they change as the input values change. This can help in understanding the behavior of the function and might provide

The table below represents a function $ f(x) $ with a set of given inputs $ x $ and their corresponding outputs $ f(x) $.

| $ x $ | $ f(x) $ |
|-----|--------|
| 5 | 12 |
| 2 | 16 |
| 4 | -14 |
| 6 | -22 |

This table indicates how the function $ f(x) $ maps specific input values to their respective output values. Here’s the interpretation:

- When $ x $ is 5, $ f(x) $ is 12.
- When $ x $ is 2, $ f(x) $ is 16.
- When $ x $ is 4, $ f(x) $ is -14.
- When $ x $ is 6, $ f(x) $ is -22.

To understand the behavior of the function, one could plot these points on a graph to see the pattern or trend, analyze the mathematical relationship between the input and output values, or use them for further mathematical calculations or modeling.

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