Question

Do exponential functions have slopes

Options:
A. "Exponential functions exhibit constant slopes throughout their domains."
B. "The slopes of exponential functions vary, contributing to their dynamic nature."
C. "Exponential functions lack slopes, relying on rates of change for characterization."
D. "The slopes of exponential functions are solely dependent on their initial values."

Answer 1

Exponential functions do not have constant slopes throughout their domains. The slope of an exponential function varies at different points along the curve, depending on the rate of change of the function. The slope of an exponential function is not solely dependent on its initial values.

Step-by-step explanation:

Exponential functions do not have constant slopes throughout their domains. Option C, "Exponential functions lack slopes, relying on rates of change for characterization," best describes the slopes of exponential functions. The slope of an exponential function varies at different points along the curve, depending on the rate of change of the function. The slope of an exponential function is not solely dependent on its initial values, as stated in Option D.