Which of the following statements about the sigmoid function is NOT true? The derivative of the sigmoid function can be negative. The sigmoid function is continuous and differentiable. The sigmoid function maps any input value to a value between 0 and 1. The sigmoid function can be used as an activation function in neural networks.

What is the problem with the tanh and sigmoid activation function?1 pointThey are discontinuous functionsYou can't take the derivativeThe derivative is near zero in many regionsThey are periodic functions

True or False? If the derivative of all the sigmoid functions are approximately zero, therefore, when we apply the update equation for gradient decent, nothing will happen.1 pointFalse True

The diagram given below is a section of the sigmoid function given by y=11+e−(ω0+ωTx)𝑦=11+𝑒−(𝜔0+𝜔𝑇𝑥) . Which of the following statements is true with respect to the given diagram? (Blue lines denotes y=0.5𝑦=0.5 line and ωTx=14𝜔𝑇𝑥=14 line)ω0=14𝜔0=14ω0=−14𝜔0=−14ω>0𝜔>0ω<0

Both of sigmoid function or perceptron decision function (step function) are differentiable.1 pointTrueFalse

What is the purpose of the sigmoid activation function in artificial neural networks?A) To compute the sum of weighted inputs.B) To determine the distance between clusters.C) To capture the spread and directionality of data points.D) To generate predictions.E) To adjust the weights and bias based on errors.