This takes some common sense. For instance, for , we’d expect the graph to pass through the origin, and as it heads to the right get higher and higher, at a faster and faster rate. Also, as you head to the left of the y-axis, you’d expect it to get higher and higher as well:
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however is a little bit different. Going right from the x-axis, we’d expect the line to get higher and higher and the slope to get steeper and steeper. However, in the negative x region, the line’s actually going to be below the x-axis, because when you cube a negative number the negative sign stays there in your answer. So going to the left of the y-axis, the line’s going to get more and more negative and the slope’s going to get steeper and steeper: