Question

Which of the following tables represents a linear function?

x −2 −1 0 1 2
y 4 1 −2 −5 −8

x −2 −1 0 1 2
y 4 1 0 1 4

x 2 2 0 2 2
y −2 −1 0 1 2

x 0 1 2 3 4
y −2 1 0 1 −2

Answer 1

Step-by-step explanation: The linear function is a function that has a straight line when plotted on a

graph.

The correct option;

The table of ordered pairs that represent a linear function is the option; x/y -8/-7 0/0 8/7 16/14

Reasons why the above selection is correct:

Given;

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

Representation of the options in tabular form;

In a tabular format, we have;

Characteristic of linear function;

In a linear function, when the x-values have a constant rate of increase the

the first difference in the y-values is constant.

Selection of the table representing a linear function;

The option that has a constant first difference along with a continuous rate of

increase in the x-value is the option with the following table;

, which is the option x/y -8/-7 0/0 8/7 16/14

Answer 2

Answer: A

Step-by-step explanation: A is the only one thats straight on a line and not constant and weird