Answer:
[tex]y=2(\frac{1}{3})^x[/tex]
Step-by-step explanation:
Let the equation of the given exponential function is,
y = a(b)ˣ
Graph of the given exponential function passes through (0, 2) and (-1, 6)
For a point (0, 2),
2 = a(b)⁰
a = 2
For another point (-1, 6),
6 = 2(b)⁻¹
3 = b⁻¹
b = [tex]\frac{1}{3}[/tex]
Therefore, equation of the exponential function will be,
[tex]y=2(\frac{1}{3})^x[/tex]
