Answer:
The value of exponential function: y = 0.2(0.5)ˣ
Step-by-step explanation:
We know that the exponential function is of the form
y = abˣ
From the table, it is clear that
when x = 0, y = 0.2
so substitute x = 0, y = 0.2
[tex]0.2\:=\:ab^{0}[/tex]
0.2 = a × 1 ∵ b⁰ = 1
0.2 = a
so, we have a = 0.2
now substitute x = 1 and y = 0.1
y = abˣ
0.1 = 0.2×b¹
0.1 = 0.2×b
b = 0.1/0.2
b = 0.5
now substituting a = 0.2 and b = 0.5
y = abˣ
y = 0.2(0.5)ˣ
Therefore, the value of exponential function: y = 0.2(0.5)ˣ
