The Sigmoid activation function $f(t)$ is defined as
Sigmoid functions are used in artificial neural networks to introduce nonlinearity in the model.
Correct option is (d)
Ref: https://excel.ucf.edu/classes/2007/Spring/appsII/Chapter1.pdf
A sigmoid function is a mathematical function having a characteristic "S"-shaped curve or sigmoid curve. A common example of a sigmoid function is the logistic function shown in the first figure and defined by the formula:
(Source- wiki)
Hence, Option D is correct.