Functions in the real world

A fill in the following table showing evans four data

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a. Fill in the following table, showing Evan’s four data points. d (day) g (number of graffiti marks) b. If this pattern keeps up, how many graffiti marks will there be on day 10? c. If this pattern keeps up, on what day will there be 40 graffiti marks? d. Write a function g (d) that gives the number of graffiti marks as a function of the day. Exercise 3
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Each of the following is a set of points. Next to each one, write “yes” if that set of points could have been generated by a function, and “no” if it could not have been generated by a function. (You do not have to figure out what the function is. But you may want to try for fun – I didn't just make up numbers randomly) a. (1, -1) (3, -3) (-1, -1) (-3, -3) ________ b. (1, π) (1, π) (9, π) (π, π) ________ c. (1, 1) (-1, 1) (2, 4) (-2, 4) (3, 9) (-3, 9) ________ d. (1, 1) (1,-1) (4, 2) (4,-2) (9, 3) (9,-3) ________ e. (1, 1) (2, 3) (3, 6) (4, 10) ________ Exercise 4 f (x) = x 2 + 2x + 1 a. f (2) = b. f (-1) = c. f(3/2) = d. f (y) = e. f (spaghetti) = f. f () = g. f (f (x)) = Exercise 5 Make up a function that has something to do with movies.
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a. Think of a scenario where there are two numbers, one of which depends on the other. Describe the scenario, clearly identifying the independent variable and the dependent variable. b. Write the function that shows how the dependent variable depends on the independent variable. c. Now, plug in an example number to show how it works.
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