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

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.

The cut off value for the sigmoid function as discussed is :

What type of growth is displayed in the graph?Multiple choice question.SigmoidalLogisticLinearExponential

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

QUESTION 1The diagram below shows the functions of and𝑓(𝑥) =− 2𝑥2 + 5𝑥 + 3. is the turning point of and and are the𝑔(𝑥) = 2𝑥 + 1 𝐶 𝑓(𝑥), 𝐴 𝐸intercepts of . and are points on both graphs and . cuts𝑥 − 𝑓(𝑥) 𝐷 𝐴 𝑓(𝑥) 𝑔(𝑥) 𝑓(𝑥)the axis at and cuts the axis at .𝑦 − 𝐵 𝑔(𝑥) 𝑦 − 𝐼Figure 1: Diagram for Question 1.4Use the information and diagram above and:1.1 Calculate the length of:1.1.1 𝐴𝐸 (4)1.1.2 𝐵𝑂 (2)1.1.3 𝑂𝐹 (3)1.1.4 𝐶𝐹 (3)1.1.5 𝐵𝐼 (2)1.2 Determine the coordinates of .𝐷 (6)1.3 Write down the values of for which .𝑥 𝑓(𝑥) < 𝑔(𝑥) (2)1.4 Write down in the form using completing𝑓(𝑥) 𝑓(𝑥) = 𝑎(𝑥 − 𝑝)2 + 𝑞,the square. (4)1.5 Write down the domain of .𝑓(𝑥) (1)1.6 Write down the range of .𝑔(𝑥) (1)[28