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Learning Math Home
Patterns, Functions, and Algebra
 
Session 8 Part A Part B Part C Homework
 
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Session 8 Materials:
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A B C 
Homework

Video

Solutions for Session 8, Part A

See solutions for Problems: A1 | A2 | A3 | A4 | A5 | A6| A7 | A8 | A9


Problem A1

answers table to A1

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Problem A2

graph of table above

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Problem A3

graph

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Problem A4

The graph is not linear, because it's not a straight line, and the difference between consecutive outputs is not constant. The graph is also not exponential, because it does not increase or decrease indefinitely, and the ratio between consecutive outputs is not constant. Neither is the graph quadratic, because the difference between consecutive outputs is not linear, nor are the second differences constant.

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Problem A5

The period is 12 hours.

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Problem A6

Blood pressure drops quickly, and appears to be lowest just before a heartbeat.

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Problem A7

After a heartbeat, blood pressure increases drastically and peaks quickly.

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Problem A8

Yes, this is a cyclic function, because its outputs are repeated consistently over time. The period is one heartbeat.

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Problem A9

The period is the length of one hearbeat, which can be measured in seconds or fractions of a minute. In this graph, the period is about 0.9 seconds. The amplitude is half the difference in pressure from the lowest point to the highest point, usually measured in mm Hg (millimeters of mercury), and in this graph is (140 - 60)/2, or 40 mm Hg.

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