A line is said to intercept another trace or an axis when it meets or cuts it.
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They are called y-intercepts.
The answer will depend on what THESE intercepts are!
A circle can have 0, 1, or 2 x-intercepts and 0,1, or 2 y-intercepts, bringing the total to 0, 1, 2, 3, or 4 intercepts.
The cosecant function, being defined as 1÷sin(x), has no x intercepts. It has y intercepts at ±∞. (infinity and -infinity)
The point (0, 0) where the x-axis intercepts the y-axis is called the Origin.