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

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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. 
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