The graph of f", consisting of two line segments and a semicircle, is shown on the right. Given That f (-2) =5, find: o S(1) O S(4) O S(8) Graph of f"

Imagine that you are studying how the number of rabbits and chipmunks evolved between 1950 and 2000 in New York, You have collected historical data and have summarized it in the following graph: a) Find an expression for each species that helps you calculate the number of animals of each species between 1950 and 2000 as a function of the year. Use R as a symbol for rabbits, C as the symbol for chipmunks, and Y as the symbol for years. You will be finding two seperate equations.  b) For which year was the population of rabbits approximately four times the population of the chipmunks? c) There is data that supports the hypothesis that linear trends observed between 1950 and 2000 will continue in the future. By which year will both populations be approximately the same?

What function is being represented by the graph below:

During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)