Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?
it is a linear function because the graph contains the points (0.-3), (1, -1), (2, 1), which are on a straight line
it is nonlinear function because the graph contains the points (0, -3, (1 -1), (2, 1) which are not a straight line
it is a linear function because the graph contains the points (-3, 0), (-1,1), (1, 2), which are ona straight line
it is a nonlinear function because the graph contains the points (-3, 0), (-1, 1), (1, 2), which are not a straight line

It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line. (C)

Step-by-step explanation:

This is because it is at a constant rate of change. The input column on a table would be adding 2 at a constant rate of change. On the output column on a table would be adding adding 1 at a constant rate of change.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.