1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution So this isn't a specific question, I'm just having trouble with my definitions. In my book for f(x) = (x - 2) ((x + 1)^2) (x-4) it says that the zeros are at x = 2, -1, 4. On the page it shows that the graph doesn't cross the x axis at -1. Does that mean that some zeros cross the x axis and that some don't? Does -1 count as a zero? Are all x intercepts zeros? Meaning that x intercepts don't necessarily cross the x axis either? My book refers to the graph 'bouncing off' at points where the graph doesn't go through a point on the x axis (where y= 0). So if I'm asked for an x intercept, I can give a value for x where the line only just touches x on the x axis and doesn't also go through and past x?