Answer:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y
=
0
.
Horizontal Asymptote: y
=
0
Step-by-step explanation:
x y
-2 81/4
-1 27/2
0 9
1 6
2 4
Answer:
(d) f(x) = log₆(x)
Step-by-step explanation:
If we use y in place of f(x), we see that ...
x = 6^y
Taking logs of both sides, we get ...
log(x) = y·log(6)
y = log(x)/log(6)
y = log₆(x) . . . . . . . using the change of base formula
f(x) = log₆(x)
_____
Or you can get there more directly using the relation between logs and exponentials:
