Answer:
see explanation
Step-by-step explanation:
Substitute the given points into the equation and solve for a and b
Using (0, 2 ), then
2 = a. [tex]b^{0}[/tex] → [tex]b^{0}[/tex] = 1, thus
a = 2
The equation is
y = 2 [tex]b^{x}[/tex]
Using (3, 0.25 ), then
0.25 = 2. b³ ( divide both sides by 2)
b³ = 0.125 ( take the cube root of both sides )
b = 0.5
Hence a possible exponential function is
y = 2[tex](0.5)^{x}[/tex]
