SOLUTION: Please help me determine if this is true or false and why? A rational function must have at least one vertical asymptote. How come no vertical asymptote exists when an examin

Question 1054729: Please help me determine if this is true or false and why?
A rational function must have at least one vertical asymptote.
How come no vertical asymptote exists when an examination might show that there is one?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Not always. A rational function may be either simplifyable or not, meaning specifically REDUCIBLE as a fraction, or not. If reducible, then this could lead to a missing point or hole in the graph.

Assuming ,

Vertical asymptote for x=c.

NO VERTICAL ASYMPTOTE.
Instead, there is no point in the graph at x=b.
RELATED QUESTIONS
State whether this is true or false. If it is false, explain why or give an example that... (answered by richard1234)

Let f(x) be a rational function such that when f(x) is in reduced form, the numerator and (answered by MathLover1)

Given the rational function f(x)=2x/x+4 I need to find the domain,find the equation of... (answered by edjones)

SOLUTION: I am a rational function having a vertical asymptote at the lines x = 3 and x = (answered by solver91311)

PLEASE HELP ME sin and cos are reciprocal function this is true or... (answered by College Student)

The maximum number of vertical asymptotes a rational function can have is infinite. (answered by stanbon)

Could someone please help me with this True or False question, and please explain why it... (answered by Alan3354)

could someone please at least tell me the steps to solve to this problem. my math book... (answered by stanbon)

i must state if this is true or false. tan0=-cot(90-0) the two zeroes have lines through... (answered by dabanfield)