Which statements accurately describe the function f(x) = 3(16) Superscript three-fourths x? Select three options.

The initial value is 3.
The domain is x > 0.
The range is y >0.
The simplified base is 12.
The simplified base is 8.

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)  

Answer:

A, C, E

Step-by-step explanation:

Egde 2020

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