f(x)=1/1+e^-x
all real numbers
A logistic function or curve is a mathematical function having an S shape, known as sigmoid curve. The name was given by Pierre Francois Verhulst in either the year of 1844 or 1845.
The parent function of the exponential function is ax
Reciprocal parent function
Yuo cannot include a graphical illustration here. Take a look at the Wikipedia, under "exponential function" and "logistic function". Basically, the exponential function increases faster and faster over time. The logistics function initially increases similarly to an exponential function, but then eventually flattens out, tending toward a horizontal asymptote.
A parent function refers to the simplest function as regards sets of quadratic functions
When a function is nested inside another function, the outer one is the parent, the inner is the child.
y = x2 is the parent function, but it can be in the form y = ax2 + bx + c
A parent function is a basic function that serves as a foundation for a family of functions. The quadratic function, represented by ( f(x) = x^2 ), is indeed a parent function that produces a parabola when graphed. However, there are other parent functions as well, such as linear functions and cubic functions, which produce different shapes. Therefore, while the parabola is one type of parent function, it is not the only one.
Logistic is the correct spelling.
In C programming, there aren't any parent or child functions.
A logistic function is a mathematical model commonly used to describe growth processes that exhibit saturation, such as population growth or the spread of diseases. It has an S-shaped curve, characterized by an initial exponential growth phase that slows as it approaches a maximum carrying capacity. The logistic function is defined by the formula ( f(x) = \frac{L}{1 + e^{-k(x - x_0)}} ), where ( L ) represents the curve's maximum value, ( k ) is the growth rate, and ( x_0 ) is the x-value of the sigmoid's midpoint. This function is widely used in various fields, including biology, economics, and statistics.