Answer:
f(x) = -3(1/3)ˣ + 5
Explanation:
This is a graph of the function y = a(b)ˣ + k
y intercept is (0, 2)
horizontal asymptote = k = 5
y = a(b)ˣ + 5
Find a: use (0, 2)
2 = a(b)⁰ + 5
a = 2 - 5 = -3
Now find b: use (1, 4) or, any point on the line
4 = -3(b)¹ + 5
-3b = 4 - 5 = -1
b = -1/-3 = 1/3
Therefore, f(x) = -3(1/3)ˣ + 5