Question

What is meant by hole and vertical asymptote in a graph.

Answer 1

Given:-

Vertical Asymptote and Hole in graph.

To find what is meant by vertical asymptote and hole in graph.

Hole in a graph means for a particular value both the numerator and the denominator of the function becomes zero and value is not find able. For example,

`(x-1)/(2x-2)`

Here now we substitute the value of x as 1. so we get,

`(x-1)/(2x-2)=(1-1)/(2(1)-2)=(0)/(0)`

Here the value of 0/0 is undefined the value cannot be marked on the graph. so there will be a gap in the graph such as,

The graph will be like this.

Vertical asymptote means a vertical line that guides the graph of the function, but never interscet the graph of the function.