Asked by Lyris
What is the range of this exponential function?
Answers
There are no human answers yet.
Answered by
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.
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.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.