Question

Limits:

If f is a continuous function with even symmetry and \(\lim_{x \rightarrow \infty}f(x)=10\), which of the following statements must be true?

the limit as x goes to negative infinity of f of x equals 10
There are no vertical asymptotes.
The lines y = 10 and y = –10 are horizontal asymptotes.

Answer 1

The first should be correct

Answer 2

Can you explain how?

Answer 3

Wait

Answer 4

Can you draw the part of the graph where if x approaches infinity f(x) approaches 10

Answer 5

I can't, but I'll try.

Answer 6

A little wrong when x approaches infinity ( extreme right side of the x axis), f(x)=10

Answer 7

Can you redraw using the above information

Answer 8

I don't get it. :(

Answer 9

Can you mark x=infinity on your graph?

Answer 10

This one?