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Yes. A lot of hyperbolic functions have no y- intercept. Also functions of the form
Y=1/x^n
Will only go to positive infinity as it approaches zero from the positive x direction and go to negative infinity as it approaches zero from the negative x direction.
* * * * *
While all that is true, the functions mentioned in the above answer are not polynomial functions! All polynomial functions will have a y-intercept provided there is no additional restriction on the domain so as to exclude x = 0.
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