range of graph (2 Viewers)

[waltssillyhat]

would the range of this graph still be (-∞,∞) even though there is an asymptote at y=3? ( i thought otherwise, but this is what it says in the solutions)

 

[coolcat6778]

no

 

[queetle]

range is (- ∞ , 3) and (3, ∞ ), this accounts for the asymptote at y=3

 

[waltssillyhat]

range is (- ∞ , 3) and (3, ∞ ), this accounts for the asymptote at y=3

that's what i thought, but the answers say that the range is (-∞,∞), so i wasn't sure

 

[Water283]

Am I missing something? y=3 looks very achievable on the left side of the graph? The range would be (-∞,∞) in that case.

 

[waltssillyhat]

Am I missing something? y=3 looks very achievable on the left side of the graph? The range would be (-∞,∞) in that case.

i think that there are some cases where a graph can pass through a horizontal asymptote, but they can never cross a vertical asymptote

 

[Socialism]

i can't remember doing a question like that in class so i'm definitely keen to know the solution