Logistic growth exercises The simplest logistic function: N(t) = 1 / (1 + e^-t) L = C = k = 1 Graph it. The shape of this curve is called:_____ What is the value of the function when t = 0 t = 1 t = 2 t = 3 t = 4 As x gets large, what does the function value approach (horizontal asymptote)? t = -1 t = -2 t = -3 t = -4 As x gets small (negative), what does the function value approach (horizontal asymptote)? Use WolframAlpha to solve for t: N(t)=.5 N(t)=.6 N(t)=.9 N(t)=.2 ******************************************************* N(t) = 100 / (1 + 50e^-.5t) L = 100 C = 50 k = .5 Graph it. What is the value of the function when t = 0 t = 5 t = 10 t = 15 t = 20 As x gets large, what does the function value approach (horizontal asymptote)? Use WolframAlpha to solve for t: (parenthesize the exponent) N(t)=10 N(t)=25 N(t)=50 N(t)=75