A graph intersects the y-axis at the y-intercept; its x value is zero.
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It is the point where the curve (i.e. line) intersects the vertical axis or the y-axis. ... or when x=0.
It is called the y-intercept and is the constant term in the relevant equation.
Not calculus, but correct. This is known as the vertical line test and is used to teach the basics of defining a function.
The relationship is a function if a vertical line intersects the graph at most once.
That depends on the value of the y intercept but in general it is at (0, y intercept)