What restrictions are there on the range of the function H (w) below

The x-axis serves as a horizontal asymptote for all exponential functions. Exponential functions are of the form f (x) = ax. The domain consists of all real numbers. However, the range only consists of all numbers greater than zero. This is because no matter how large x gets, the graph will shoot upwards towards infinity. If x becomes a negative, we know that we will get f (x) = 1/a2. The larger the negative number, the closer the function approaches zero. So, for exponential functions we will always have that restriction that the range will only include positive numbers. I hope this answers your question. I believe the statement is true.