1. BELLRINGER: The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning home. 1.What do the horizontal lines on the graph represent? 2.Where in the graph shows her taking care of the 2 errands? 3.Compare how she traveled at the beginning to how she traveled at the very end. 4.Create Maria’s story so that it matches the graph.

2. Review HW

3. Characteristics of Functions

4. Coordinate Algebra UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question: What are the key features of a linear and an exponential function? Standards: F.IF 4, F.IF 5, F.IF 7, F.IF 7a, F.IF 7e

5. InterceptsIntercepts x-intercept – the point at which the line intersects the x-axis at (x, 0) y-intercept – the point at which the line intersects the y-axis at (0, y)

6. Find the x and y intercepts, then graph. -3x + 2y = 12

7. Increasing, Decreasing, or Constant Sweep from left to right and notice what happens to the y-values Increasing goes up (L to R) Decreasing falls down (L to R) Constant is a horizontal graph

8. Continuous vs Discrete Continuous has NO breaks Discrete has gaps or breaks

9. ExtremaExtrema Minimum Point – least value of the function Maximum Point – greatest value of the function

10. Domain & Range Domain – all x-values of a function Range – all y-values of a function

11. NotationNotation Interval – represents an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included Set – using inequalities to describe the values

12. AsymptoteAsymptote A line that a graph gets closer and closer to, but never crosses or touches

13. CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum?

14. CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum?

15. CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum? 6.Horizontal Asymptote:

16. CharacteristicsCharacteristics 1.Domain: 2.Range: 3.Intercepts: 4.Increasing or Decreasing? 5.Maximum or Minimum? 6.Horizontal Asymptote:

17. ClassworkClasswork Characteristics of Functions Worksheet 7 problems Characteristics of Functions Worksheet 7 problems

18. HomeworkHomework Characteristics of Functions Worksheet 6 problems Characteristics of Functions Worksheet 6 problems