Question

Which statements accurately describe the function f(x) = 3(16)^3/4 ? ​

Answer 1

3rd and 5th options

Explanation:

For f(x) = 3(16)^(3x/4):

There is no initial value, because exponents can be any real number (positive or negative), so #1 is false

Because exponents can be any real number (positive or negative), #2 is false

A positive number to the power of anything will always be positive, and not equal to 0, so #3 is true

The simplified value of this is 3((16)^(3/4) )^x = 3(2^3)^x = 3(8)^x, so #4 is false, but #5 is true.