Question

True or False Some rational functions have holes in their graph.

Short answer

The above statement is true.

Step-by-step solution

Step. 1 Rational functions

Rational functions are algebraic functions which has polynomial in their numerator as well as in denominator. Now when we have polynomial then we those polynomials can be factorized into their smallest factors.

Step. 2

When we factorize the polynomials and if polynomials in the numerator and denominator has a common factor then this lead to a hole in the graph.

So, it is clear from above discussion that some rational functions have hole in their graphs. This statement is true.