The first table with the following values of x and y, shows a linear function.
x = -4, y = 8
x = -1, y = 2
x = 1, y = 2
x = 2, y = 4
x = 3, y = 6
Definition of a Linear Function:
A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
For the above chosen option, the value of y corresponding to a value of x is twice that of its x value. This linear function can be represented as follows,
y = | 2x | .......... (1)
In this linear function, mod represents, that y is always maintained positive. Besides, the value of y is always twice that of the x. Hence, the linear function can also be written as, y ± 2x = 0.
Since, equation (1) is of the form, y = mx + c, it produces a straight line. Here, m = 2 and c = 0. Thus, it is a linear function.
Learn more about a linear function here:
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