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Put a tally mark next to your birth month:

Put a tally mark next to your birth month:. 1.) What is f(4) and what does this mean? 2.) What about f(7)? 3.) Find f(13), if possible, & explain what it means or would mean. 4.) Find f(1.5), if possible, & explain what it means or would mean. What makes a function continuous or discrete?.

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Put a tally mark next to your birth month:

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  1. Put a tally mark next to your birth month: 1.) What is f(4) and what does this mean? 2.) What about f(7)? 3.) Find f(13), if possible, & explain what it means or would mean. 4.) Find f(1.5), if possible, & explain what it means or would mean.

  2. What makes a function continuous or discrete? A function is continuous if changes in the input result in small changes in the output. Otherwise, a function is said to be discrete. A continuous function can be compared to a bridge that connects a road on both sides - a bridge allows you to drive along the road with no interruptions, obstacles, or detours. Ex: Your age over time. Age is continuous

  3. Discrete Function A function is discrete if it can only be defined for a set of numbers that can be listed, such as the set of whole numbers or the set of integers Ex: the amount of money in a bank account at any time. The function jumps whenever money is deposited or withdrawn, so the function is discontinuous (or discrete)

  4. Warm-up FLASHBACK! If we were to graph the data from the warm up, should we connect the dots? Why or why not?

  5. Function Notation “f of x” domain Input = x Output = f(x) = y independent range dependent

  6. x y x f(x) Before… Now… y = 6 – 3x f(x) = 6 – 3x -2 -1 0 1 2 12 -2 -1 0 1 2 12 (x, f(x)) (x, y) 9 9 6 6 3 3 0 0 (input, output)

  7. Fiona Task Part 2 You have 15 minutes to complete Part 2 of the Fiona Task.

  8. Example Find g(2) and g(5). g = {(1, 4),(2,3),(3,2),(4,-8),(5,2)} 2 g(2) = g(5) = 3

  9. Example Consider the functionh= { (-4, 0), (9,1), (-3, -2), (6,6), (0, -2)} Find h(9), h(6), and h(0).

  10. Example. f(x) = 2x2 – 3 Find f(0), f(-3), f(5a).

  11. Example. f(x) = 3x2 +1 Find f(0), f(-1), f(2a).

  12. v(x) (x) 1.) What is v(20000)? 3.) Find an x so that v(x) = 8,000 2.) What is v(80000)? 4.) Is this graph discrete or continuous? EXPLAIN!

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