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

True statements:
- The initial value is 3. (f(0) = 3·16^0 = 3)
- The range is y > 0. (3·8^x > 0 for all x)
- The simplified base is 8. (16^(3/4) = (16^(1/4))^3 = 2^3 = 8)

The domain is all real numbers (not x > 0). The simplified base is not 12.