Respuesta :
Answer:
The initial value of the function is 3.
The range of the function is y > 0.
The simplified base value of the function is 8.
Step-by-step explanation:
The given function is [tex]f(x) = 3(16)^{\frac{3}{4}x }[/tex]
Therefore, the simplified function will be [tex]f(x) = 3(16^{\frac{3}{4} } )^{x} = 3(8)^{x}[/tex] ........ (1)
Now, at x = 0, f(x) = 3.
Hence, the initial value of the function is 3. (Answer)
The value of x in the equation (1) can be any real value but for any value of x, the f(x) value will be greater than 0.
Hence, y > 0 that is the range that the function has. (Answer)
Again, from equation (1) we get the simplified base value of the function is 8. (Answer)