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Question 6 Which table represents a linear function? A X у с X y 2 -4 8 -4 -2 0 -2 0 0 -4 0 -4 2 -6 0 -2 B X у D x y -4 2 -4 4 -2 0 -2 2 0 2 0 0 2 4 2 -2 * 1 point

Answer:

D

Solution:

From the table D, we

observe that with every increase in the value of x by +2, there is

a decrease in the value of y by -2.

This is not in the case of tables A, B

or C.

The linearity can also be observed

from the graph given below. The graph of a linear function

is always a straight line-

y -6 4 (-2, 2) 2 X -8 -6 -4 -2 0 2 4 6 8 (0,0) -2 (2,-2)

### What our team says

# Which table represents a linear function

In mathematics, a function is a mathematical object that describes how one variable changes as another variable is changed. A function can be represented by a table, where each row and column corresponds to a particular set of inputs and outputs. In this article, we will explore what a linear function is and how to find its equation using linear equations solvers.

## What is a Linear Function?

A linear function is a function that takes one input, x, and outputs a single number, y, according to the following equation: y =Ax.

What does this mean for real life? A linear function can be used to describe the relationship between two variables in real life situations. For example, if you want to find out how much weight someone weighs and their height, you could use a linear function to calculate the average weight and height of an individual.

## Properties of Linear Functions

A linear function is a function that takes in one input and produces one output. Linear functions can be represented by a table, which is a graphical model of the function. In this blog post, we will discuss some properties of linear functions, including:

Linear Functions areconstant over time

A linear function is constant over time if each input corresponds to the same output every time you run the function. For example, if you are graphing a linear function on a coordinate plane, all points (x,y) will result in the same output every time you run the function. This property is important when trying to solve problems using linear equations.

## Graphs of Linear Functions

There are a few different types of graphs that can be used to represent linear functions. The most common graph is the line graph, which plots the output against the input.

Another type of graph is the stair-step graph. This type of graph shows how the output changes as the input increases or decreases by a certain amount.

Finally, there is the polar coordinate graph. This type of graph uses angles to represent quantities in linear equations.

## Inverse Functions of Linear Functions

Which table represents a linear function?

The table that represents a linear function is the one that has an inverse.

## Applications of Linear Functions

Linear functions play an important role in a variety of applications, from physics to business. In this blog post, we’ll explore some of the most common linear functions and how they can be used.

Linear Functions and Graphs

A linear function is a set of instructions that allow you to plot points on a coordinate plane. A graph is created by plotting the points corresponding to different values of the input variable. The slope of the graph tells you how fast the input variable changes with each increase or decrease in the value of the input variable.

Linear Functions and Slope

The slope of a graph is the line that connects the two points along which the input variable changes most rapidly. The greater the slope, the steeper the line. To find out which point on the graph corresponds to a given value of the input variable, use your slope calculator.

Linear Functions and Y-Intercepts

The y-intercept is a point on a graph that corresponds to 0 on the coordinate plane. The y-intercept represents where the line slopes down from horizontal to vertical (or vice versa). This information can be valuable when trying to solve linear equations, because it tells you where one term in an

## Conclusion

In this article, we investigated what table represents a linear function. We looked at the properties of each table type and determined which one best represented a linear function. The final choice was between the slope-intercept table and the y-intercept table. It turned out that the slope-intercept table is more appropriate for representing linear functions because it has both a slope and an intercept, while the y-intercepttable only has an intercept.

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