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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 question does not contain an equation but an expression. An equation can have intercepts, an expression cannot.
Slope: -1 intercepts: (0,1000),(1000,0)