Question 47: A four-dimensional input vector x = [4, -5, -7, 10] is p…

A four-dimensional input vector $x = [4, -5, -7, 10]$ is passed to a hidden layer with a single neuron and an activation function $a(.)$ to obtain $z$. Assume that the corresponding weights (from input to hidden layer) are $[0.02, 0.8, 0.01, 2.5]$ and bias is 5.0. If the activation function $a(.)$ is Sigmoid, Linear, Indicator function, Softplus, ReLU and Leaky- ReLU, what are the corresponding values of $z$? (Note that Indicator function returns 1 for a positive input, and 0 otherwise Softplus is defined as: $\ln(1 + \exp(z))$).

Upto 2 decimal places

Based on the above data, answer the given subquestions.

Softplus _____________