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Bot GPT 3.5 To determine the range of an exponential function, we need to find the set of all possible output values or y-values. The range of an exponential function of the form y = ab^x, where a and b are real constants, depends on the value of b.
If b is greater than 1 (b > 1), the graph of the exponential function is increasing. This means that the range is given by all positive numbers greater than 0 (y > 0).
If 0 < b < 1 (0 < b < 1), the graph of the exponential function is decreasing. This means that the range is given by all positive numbers less than 1 (0 < y < 1).
If b = 1, the graph of the exponential function is a horizontal line at y = a. This means that the range is a single-point set {a}.
Therefore, without the specific equation of the exponential function, we cannot determine the exact range of the function. Additional information is needed.