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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 a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on 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. It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.
y = 2x - 3 This is linear because the exponent on x is one. Thus your slope is standard rise over run, like a stair step and simply goes up or down. Y = x^2 + x + 4 is nonlinear. When graphed it becomes a parabola, which looks like a hill on your graph. This is because the exponent on the variable of x is more than one. This pattern continues on for all equations. Hope this helps to put it into easy to understand terms. :) Next try substitute x=0 into the equation and u will get y=-3 So if we substitute x=1 into the equation,what will u get for y?
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