IXL - Determine continuity on an interval using graphs (Calculus practice)

Is the function

(

)

continuous on the open interval

(

)

yes

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Learn with an example

question

Is the function

(

)

continuous on the open interval

(

–

)

yes

key idea

A function is continuous on an open interval

(

)

if it has no discontinuities between

and

The behavior of the function at

and

does not matter since these points are not in the interval.

solution

To determine whether

(

)

is continuous on the open interval

(

–

)

check whether

(

)

has any discontinuities between

–

and

Since

(

–

)

is an open interval, the behavior of

(

)

–

and

does not matter.

The graph of

(

)

has a break at

–

So,

(

)

is not continuous on

(

–

)

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Not feeling ready yet? These can help:

E.4Find and analyze points of discontinuity using graphs

E.3Determine one-sided continuity using graphs

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