Question

Identify points of discontinuity and classify the type of each discontinuity

Answer 1

Answer:
`(-1,\text{ }\infty)`

Infinite discontinuity

Explanations:

The given equation is:

`y\text{ = }(2x)/(x+1)`

The function will be undefined at the point x + 1 = 0

x = -1

This means that x = -1 is a point of discontinuity

Substituting x = -1 into the equation:

`\begin{gathered} y\text{ = }(2(-1))/(-1+1) \\ y\text{ = }(-2)/(0) \\ y\text{ = }\infty \end{gathered}`

This is an infinite discontinuity