Urgent help with question! (1 Viewer)

[dabatman]

Can anyone help me solve this question?. The question is asking to sketch this function using limits, but i'm really confused as how to do it.

I know that the process finding the shape of the graph by looking at: its intercepts, indicating whether it is an even or odd function, finding its asymptotes (using limits here), then its domain and range; then using all this information to sketch the graph. Can someone please type up the solution step by step.

Please I desperately need help!

Thank you

 

[pikachu975]

x int when y = 0, x = 0
y intercept = 0 when x = 0

x-> infinity, y approaches 1 from the positive half (fraction can't be negative)
So there's an asymptote at y = 1

x-> -infinity, same thing

It's just an even function that passes through the origin while approaching y = 1 from both ends