Which of the following functions has the same horizontal asymptote as the function graphed below?

f(x)=-3^x+2 +2

f(x)=2^x-3

f(x)=3^x+2 -2

f(x)=2^x+2 -3

Which of the following functions has the same horizontal asymptote as the function graphed below fx3x2 2 fx2x3 fx3x2 2 fx2x2 3 class=

Respuesta :

Answer:

The functions which has the same horizontal asymptote y = -3 as given in the graph are,

f(x) = [tex]2^{x} - 3[/tex]  and

f(x) = [tex]2^{(x+2)} -3[/tex]

Step-by-step explanation:

The function that is graphed has horizontal asymptote as y = -3 .

As x → -∞  f(x) → - 3  for the second and fourth function. Hence the functions which has the same horizontal asymptote y = -3 as given in the graph are,

f(x) = [tex]2^{x} - 3[/tex]  and

f(x) = [tex]2^{(x+2)} -3[/tex]