Question

What are the domain and range of the function f(x) = 4(3/81)"?

{xl x is a real number}; {vl y >0}
x > 4; vly >0}
{xl x is a real number}; {vl y > 4}
{x\ x > 4}; {vy> 4}

Answer 1

The domain is all real numbers and the range is y > 0.

Step-by-step explanation:

The domain of a function refers to the set of all possible input values (x-values) for the function, while the range refers to the set of all possible output values (y-values) for the function.

For the function f(x) = 4(3/81)x, the domain is the set of all real numbers (x is a real number) because there is no restriction on the values of x.

The range is the set of all y-values greater than 0 (y > 0) because the function involves exponential growth (as the exponent x increases, the value of f(x) increases) and the base (3/81) is positive.