Option B) 4 is the multiplicative rate of change of the given function.
Step-by-step explanation:
The given function is f(x) = 2[tex]\times[/tex] 4^x
put x=1 in f(x),
- f(1) = 2[tex]\times[/tex] (4)^1 = 8
put x=2 in f(x),
- f(2) = 2[tex]\times[/tex] (4)^2 = 32
put x=3 in f(x),
- f(3) = 2[tex]\times[/tex] (4)^3 = 128
put x=4 in f(x),
- f(4) = 2[tex]\times[/tex] (4)^4 = 512
The change from 8 to 32 is 8[tex]\times[/tex]4 = 32
The change from 32 to 128 is 32[tex]\times[/tex]4 = 128
The change from 128 to 512 is 128[tex]\times[/tex]4 = 512
Therefore, the multiplicative rate of change is 4.
