wu=1,b0=1/3,by=2/3,bd=1, bs =4/3. In the lant layer, the wrighite are Meni3er. Mes. anes. where a1a2a3a4=1000210012100121g(0)g(1/3)g(2/3)g(1) (find the notations in your notes). 5. Extend the Approximation Theorem 11 to to any closed interval (a,b] as in the following Let g:(a;b]R be a contimuous function. Then the neuron network fn=i=0nnaiReLU(baax+ni+1) a0a1a2an=10002100121000102001g(a)g(a+nba)g(a+n2(ba))g(b)convergesuniformlytog(x). 1. Prove that if a function is ic lipechite, then it is uniformly coutinuous. 2. Extend the Approximation Theory for k lipechitz. function on (0,1] (Proponition 2.1 in Matus T) th any clobed interval [a,b]. 3. Skecth the graph of the following neural network f(x) together with g(x)=x2. Aetivation funetion is. perceptron ( or called Heaviside) (x)={01x0, and find a Lipshitz continuous function g(x) in (0,1), come up with pseudo code to approximate g(x) using a 2 -layer nerural network f(x) with netivation function being perceptron such that the error sup f(x)g(x)