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Rewriting Exponential Functions

Question 1 • FL-1200330-Algebra 2 CR

Which statements are true about exponential functions? Check all that apply.The domain is all real numbers.The range always includes negative numbers.The graph has a horizontal asymptote at x = 0.The input to an exponential function is the exponent.The base represents the multiplicative rate of change.

Answer
A
The domain is all real numbers.
B
The range always includes negative numbers.
C
The graph has a horizontal asymptote at x = 0.
D
The input to an exponential function is the exponent.
E
The base represents the multiplicative rate of change.

Explanation

For an exponential function such as f(x) = b^x, any real number can be used as the input, so its domain is all real numbers. The input x is the exponent, and the base b gives the multiplicative rate of change. The function’s outputs are positive, and its horizontal asymptote is y = 0, not x = 0; therefore B and C are false.

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