QUESTION IMAGE
Question
- choose the best answer.
the range of a(n) — function has an upper limit.
logistic
power
logarithm
exponential
A logistic function has the form \( f(x)=\frac{L}{1 + e^{-k(x - x_0)}} \), where \( L \) is the upper limit (carrying capacity) of the function's range. Exponential functions (\( y = a^x,a>0,a
eq1 \)) have a range of \( (0,\infty) \) with no upper limit (if \( a > 1 \), it increases without bound; if \( 0 < a < 1 \), it decreases towards 0). Logarithmic functions (\( y=\log_a x,a>0,a
eq1 \)) have a range of \( (-\infty,\infty) \) with no upper limit. Power functions (\( y = x^n \)) can have different ranges depending on \( n \), but generally do not have a fixed upper limit like logistic functions. So the function with an upper limit in its range is logistic.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
logistic