The function represented by the table is a non-linear function because it does not have a constant rate of change option (b) is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a function represented by the table:
x 6 4 7 2
y 8 0 9 –2
If the table follows a linear pattern then it can be said that the function is a linear function.
If the table does not follow the linear pattern then it can be said that the function is a non-linear function.
After plotting the double-ordered pair:
(x, y) on the coordinate plane.
From the graph, we can see the function represented by the table ios a non-linear function.
Thus, the function represented by the table is a non-linear function because it does not have a constant rate of change option (b) is correct.
Learn more about the linear equation here:
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