It is called the y-intercept and is the constant term in the relevant equation.
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A graph intersects the y-axis at the y-intercept; its x value is zero.
It is the point where the curve (i.e. line) intersects the vertical axis or the y-axis. ... or when x=0.
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)