good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answer:
B and D
Step-by-step explanation:
From inspection of the graph, we can see that as [tex]x[/tex] increases, [tex]f(x)[/tex] tends to 0 (gets increasingly closer to zero, but doesn't actually get there).
Therefore:
B) [tex]\textsf{as }x\rightarrow +\infty, f(x) \rightarrow 0[/tex]
From inspection of the graph, we can see that as [tex]x[/tex] decreases, [tex]f(x)[/tex] is increasing.
Therefore:
D) [tex]\textsf{as }x\rightarrow -\infty, f(x) \rightarrow +\infty[/tex]