Answer:
Option (B)
Step-by-step explanation:
Let the equation of the exponential function give in the graph is,
f(x) = a(b)ˣ
Since the given graph passes through two points (0, 3) and (-1, 1.5)
For (0, 3),
f(0) = a(b)⁰
3 = a(1) [Since b⁰ = 1]
a = 3
For (-1, 1.5),
f(-1) = a(b)⁻¹
1.5 = 3(b)⁻¹
1.5 = [tex]\frac{3}{b}[/tex]
b = [tex]\frac{3}{1.5}[/tex]
b = 2
Therefore, equation of the given function will be,
f(x) = 3(2)ˣ
Option (B) will be the answer.
