Investigate domain, range and asymptotes

01

Press these keys

Y=WINDOWTRACETABLE

02

Walkthrough

1
Choose a revealing window
Include suspected boundaries and avoid a scale that hides rapid change.
2
Compare views
Use GRAPH, TRACE and TABLE. Undefined table cells indicate excluded inputs.
3
State limits carefully
A graph suggests an asymptote; support it algebraically when required.

03

Worked example

Investigate f(x)=1/(x−2)+1.

NORMAL FLOAT AUTO REAL MPvertical break near X=2horizontal approach Y=1

AnswerDomain x≠2; range y≠1; asymptotes x=2 and y=1.