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Do Now – ACT Practice

This resource covers essential concepts in graphing functions, focusing on domain and range as sets of inputs and outputs. It explains how to find intercepts, increasing and decreasing functions, and utilizes real-life scenarios, such as tracking body temperature, to illustrate these concepts. Students will practice identifying intervals where functions increase, decrease, or remain constant, along with a discussion of extrema and end behavior. This aids in understanding how mathematical functions apply in practical situations.

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Do Now – ACT Practice

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Presentation Transcript

  1. Do Now – ACT Practice

  2. Graphing Functions 7/3/2013

  3. Domain and Range • Domain: Set of Inputs • Found on the x-axis • Range: Set of Outputs • Found on the y-axis

  4. Domain and Range Range • Set-Builder Notation • Interval Notation Domain • Set-Builder Notation • Interval Notation

  5. Finding Intercepts

  6. Gist Session • What is domain? • What is range? • What is an intercept (both x and y)?

  7. Practice Sesh • P. 212 #77-92

  8. Increasing and Decreasing Functions The figure below shows the percent distribution of divorces in the U.S. by number of years of marriage.

  9. Don’t Get Sick • It’s 8 AM and you’re feeling terrible. Your temperature is 101°. The only prescription is constructing a graph showing your body temperature as a function of the time of day. You decide to let represent the number of hours after 8 AM and your temperature at time .

  10. YES! Your temperature starts to decrease. It reaches normal (98.6° F) by 11 AM. Feeling energized, you construct the graph below. From what values does the temperature decrease?

  11. After creating the first graph drains you of energy, your temperature starts to rise, until it reaches 100°. • From what values does your temperature increase?

  12. By 3 PM, your temperature is still at 100°. • From what values does your temperature stay constant?

  13. State the intervals on which each function is increasing, decreasing, or constant.

  14. Practice • P. 223 #1-12 • Use the graph to determine • Intervals on which the function is increasing, if any. • Intervals on which the function is decreasing, if any. • Intervals on which the function is constant, if any.

  15. Extrema (Maxima and Minima)

  16. Calculator Fun

  17. Quick Quick Practice! • P. 224 #13-16 • If finished, p. 227 #83-90

  18. End Behavior • What happens at the part of the graph you can’t see?

  19. M.I.P.O.T.D.,M.E.T.S. • P. 225 #33-36

  20. Harkness Discussion

  21. Exit Slip Quiz • Good luck!

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