It is possible for a rational function $f$ to have no zeros, such that $f(x)7$

Name: It is possible for a rational function $f$ to have no zeros, such that $f(x) 0$ for $x>7$
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Question

It is possible for a rational function $f$ to have no zeros, such that $f(x)<0$ for $x<5$ and $f(x)>0$ for $x>7$

Quizplus · Accepted Answer

A rational function can have no zeros if its numerator is a non-zero constant. It can be negative for $x<5$ and positive for $x>7$ if it has a vertical asymptote between 5 and 7.

It Is Possible for a Rational Function fff To Have No Zeros, Such That

It Is Possible for a Rational Function $f$ To Have No Zeros, Such That