Question

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.

Answer 1

A, C, E

Explanation:

Egde 2020

Answer 2

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.

Explanation:

The given function is
`f(x) = 3(16)^{(3)/(4)x }`

Therefore, the simplified function will be
`f(x) = 3(16^{(3)/(4) } )^(x) = 3(8)^(x)` ........ (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)