Problem

Find the range of the exponential function. Write the range using interval notation.

Answer

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Answer

Final Answer: The range of the exponential function is \(\boxed{(0, \infty)}\).

Steps

Step 1 :Find the range of the exponential function. Write the range using interval notation.

Step 2 :The range of an exponential function is the set of all possible output values (y-values) that we can get by substituting the domain values (x-values) into the function.

Step 3 :For an exponential function of the form \(f(x) = a * b^x\), where a and b are positive real numbers and b ≠ 1, the range is always (0, ∞) in interval notation.

Step 4 :This is because the exponential function is always positive and can take any positive value, but it never reaches 0.

Step 5 :Final Answer: The range of the exponential function is \(\boxed{(0, \infty)}\).

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