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This is a direct variation function. The function is m(x) = 1.5x; Graph is below.

Explanation:

Visually, the line that goes through all these points also goes through the origin. Any direct variation function is always going to be a straight line and this line must go through (0,0). Check out the attached image below for the graph.

Algebraically, the function is in the form y = k*x where k is some fixed constant. In this case, k = 1.5 which can be seen by dividing any row of x,y values together (eg: row 4 we have k = y/x = 6/4 = 1.5). The equation is therefore m(x) = 1.5*x so we simply multiply the x value by 1.5 to get the y value. We have y = m(x).

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step-by-step explanation: