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Day _____ Name the point with the given coordinates. 1. (4,-2) 2. (4,3) 3. (2,-4) 4. (-2,1)

Day _____ Name the point with the given coordinates. 1. (4,-2) 2. (4,3) 3. (2,-4) 4. (-2,1). Name the coordinates of each given point. 5. B 6. F 7. G 8. H. 5.1 & 5.2 Relating Graphs to Events and Relations and Functions.

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Day _____ Name the point with the given coordinates. 1. (4,-2) 2. (4,3) 3. (2,-4) 4. (-2,1)

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  1. Day _____ Name the point with the given coordinates. 1. (4,-2) 2. (4,3) 3. (2,-4) 4. (-2,1) Name the coordinates of each given point. 5. B 6. F 7. G 8. H

  2. 5.1 & 5.2 Relating Graphs to Events and Relations and Functions I can interpret, sketch, and analyze graphs from situations. I can identify relations and functions. I can evaluate functions. Don’t forget to write this “I Can” in your target sheet.

  3. Section 5.1 Relating Graphs to Events. EX 1: Describe the relationship between the time and distance. Steady increase in distance over time. No change in distance over time. distance distance Walking away. Resting. time time More rapid change in distance over time. Steady decrease in distance over time. distance distance Walking back. Running or riding. time time

  4. EX 2: A commute home from work on the bus. walking Riding the bus Distance waiting walking Time

  5. EX 3: An airplane trip to Europe. Where is this plane not moving? Cruising over the ocean Waiting for clearance Speed First descent Taking off landing Time

  6. 5.2 Relations and Functions Relation- a set of ordered pairs. Domain- Input; X-values Range-Output; Y-values Function- a relation in which every element in the domain is paired with only one element in the range.

  7. EX 1 EX 2 DomainRangeDomainRange 11 12 13 20 -2 -1 7 -2 -1 6 -1 0 1 3 The relation is a function. The relation is not a function.

  8. EX 3: This relation will pair age to number of phones owned. Age Phones Name the relation. 10 16 22 28 34 0 3 5 7 8 Domain Range Is the relation a function? Yes, it is a function.

  9. Is each relation a function? EX 4: a. Not a function. b. Function.

  10. Vertical-line test – a way to analyze a graph to see if a relation is a function. Function

  11. EX 5: Not a function.

  12. EX 6:

  13. Function notation- when an equation is written in the form an equation. Equation in function notation Equation

  14. EX 7: Find the range for the domain {-2,0,1}. function output input The range is {-5,-3,-2}.

  15. EX 8: What is the domain and range of the following function: Domain: Range:

  16. EX 9: Evaluate the following:

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