Question

WHEN AN X VALUE MAKES THE DENOMINATOR ZERO IN A RATIONAL FUNCTION, WHAT DOES THAT MEAN?

Answer 1

or how do you know if it's a hole or an asymptote?

Answer 2

FOR EXAMPLE 2X/X-3

Answer 3

your caps-lock key seems to be stuck there =|

Answer 4

Sorry

Answer 5

how to know if it's a hole or ... asymptote....
not sure exactly what the question is

Answer 6

unless there's extra information on the phenomena represented by the function
is an asymptote

if some other info is provided, like say..hmmm
heart rate skipping on a graph, then could be represented by a hole in the graph

Answer 7

so if,all you have going, is the rational function itself, then when the denominator becomes 0, or is undefined, then is a vertical asymtote

Answer 8

well hmmm keep in mind that
you get a vertical asymptote IF the denominator turns to 0, because say... x = -7
so

what if you have the "x" variable in the numerator as well? does that make the numerator turn to 0?

if it DOES NOT, then you have a vertical asymptote

so, the vertical asymptote occurs, only if, when "x" gets some value
and the denominator turns to 0
BUT
the numerator does not turn to 0

Answer 9

Ohh what if the numerator turns to zero as well?

Answer 10

Also, when do holes occur?