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o In this project you will apply your understanding of graphing Functions, concavity. inflection points and local and absolute extrema to experiment with a model For biological tness for organisms. - 0 isa constant. Then fitness is typically given by w(x) : (numer of offspring) - (probability of survival of offspring). A. Use Desmos to graph at) and add a slider for the constant k. This kind of curve is called sigmoidal. What does the shape of the graph mean about the probability of survival? Consider the roots of the function, inflection points, limit as x tends to 0 from the right, limit as x tends to w, and concavity. B. As a group, write a paragraph explaining what the shape of the graph means about the probability of survival of an organism. C. From the organism's point of view, the value of a: that maxim/Zes w(m) is optimal D. Write the function w(a:) in terms of a: and the constants k and R. E. Find the value of m that maximIZes w(a:). Vour answer will be in terms of k and R. F. Use Desmos to graph w(;t) and add sliders for k and R. Give a sketch of the graph for your choices of k and R. Does your conclusion from part (5) agree with the graph of the function? Use full sentences to explain your