Which statement describes the graph of f(x) = 4x7 40x6 100x5? the graph crosses the x axis at x = 0 and touches the x axis at x = 5. the graph touches the x axis at x = 0 and crosses the x axis at x = 5. the graph crosses the x axis at x = 0 and touches the x axis at x = –5. the graph touches the x axis at x = 0 and crosses the x axis at x = –5.

1. Factor the function (you can see that expression is common in all terms of function):
 .

2. Find the points of intrsection with x-axis (the point is on x-axis when y=0):
. 
The root x=0 has multiplicity 5 and the root x=-5 has multiplicity 2. If multiplicity is odd, then line crosses through the point and when multiplicity is even, then line touches the x-axis at the point.

3. Choose correct the graph crosses the x-axis at x = 0 and touches the x-axis at x = –5.

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