The following table shows the values of y for different values of x:



x y

0 -5


1 0


2 5




Which statement best explains whether the table represents a linear function or a nonlinear function?

It represents a linear function because its points are on a straight line.

It represents a linear function because its points are not on a straight line.

It represents a nonlinear function because its points are on a straight line.

It represents a nonlinear function because its points are not on a straight line.

Let's graph the points

Option A is correct

The true statement is It represents a linear function because its points are on a straight line.

A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions. The function notation is the only distinction. It is also important to understand an ordered pair expressed in function notation. When an is an independent variable on which the function depends, the expression f(a) is referred to as a function.

Given:

x y

0 -5

1 0

2 5

Now, the equation to represent the linear function is

y +5 = (0+5)/(1-0) (x- 0)

y+5 = 5x

y= 5x - 5

Now, plot the above equation on graph.

The graph represents the straight line.

Hence, It represents a linear function because its points are on a straight line.

Learn more about linear function here:

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Solve when m = 7 and n = 4

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D.14

6.39 ÷ 0.09 = _____
82.14 ÷ 0.6 ≅ _____
82.14 ÷ 0.6 = _____
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C

____
A

____
B

____
D

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