CSU Surveying in Mathematics Sketching Graphs of Functions Worksheet

I’m working on a Mathematics question and need support to help me study.

(1) Sketch the graph of one function f(x) that meets all of the following criteria:

(3) The proportion of a population after t years is modeled by the updating functionpt+1 =p3t· 2ptpt + 1.You can verify that the equilibrium points of this system are p? = 0, 1.(a) Compute the derivative of the updating function. You do not need to simplify.(b) Classify each equilibrium point as stable, unstable, or inconclusive in two different ways:(i) Algebraically using the Stability Theorem and the derivative you computed inthe previous part.(ii) Graphically using the Stability Theorem and the graph of the updating function.Note: You should use technology to graph the updating function, and you shouldnot use cob-webbing to justify your answer.(c) You plot the first several points o

I want you to do question number 1 and question number 2.

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