Assertion: graph | /r/CapableOf | cross the x-axis
Facets:
value: always
type: TEMPORAL
value: at these points
type: TEMPORAL
value: at 1
type: TEMPORAL
value: at the zero
type: LOCATION
value: at that zero
type: OTHER
Source sentences:
text: where the graph crosses the x-axis.
text: So we can find information about the number of real zeroes of a polynomial by looking at the graph and, conversely, we can tell how many times the graph is going to touch or cross the x-axis by looking at the zeroes of the polynomial (or at the factored form of the polynomial).
text: All four graphs have the same zeroes, at x = –6 and at x = 7, but the multiplicity of the zero determines whether the graph crosses the x-axis at that zero or if it instead turns back the way it came.
text: If the zero was of multiplicity 1, the graph crossed the x-axis at the zero; if the zero was of multiplicity 2, the graph just "kissed" the x-axis before heading back the way it came.
text: I can see from the graph that there are zeroes at x = –15, x = –10, x = –5, x = 0, x = 10, and x = 15, because the graph touches or crosses the x-axis at these points.
text: And it is there that the graph crosses the x-axis, because there sin x = 0.
text: The graph will always cross the x-axis at 1.