1 / 18

5-Minute Check on Chapter 2

Transparency 3-1. 5-Minute Check on Chapter 2. Evaluate 42 - |x - 7| if x = -3 Find 4.1  (-0.5) Simplify each expression 3. 8(-2c + 5) + 9c 4. (36d – 18) / (-9)

Download Presentation

5-Minute Check on Chapter 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Transparency 3-1 5-Minute Check on Chapter 2 • Evaluate 42 - |x - 7| if x = -3 • Find 4.1  (-0.5) • Simplify each expression • 3. 8(-2c + 5) + 9c 4. (36d – 18) / (-9) • A bag of lollipops has 10 red, 15 green, and 15 yellow lollipops. If one is chosen at random, what is the probability that it is notgreen? • Which of the following is a true statement Standardized Test Practice: 8/4 < 4/8 -4/8 < -8/4 -4/8 > -8/4 -4/8 > 4/8 A B C D Click the mouse button or press the Space Bar to display the answers.

  2. Lesson 10-5 Exponential Functions

  3. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  4. Transparency 5a

  5. Objectives • Graph exponential functions • Identify data that displays exponential behavior

  6. Vocabulary • Exponential function –

  7. Key Concept • xxxx

  8. Graph State the y-intercept. x 3x y –1 3–1 0 30 1 1 31 3 2 32 9 Example 1a Graph the ordered pairs and connect the points with a smooth curve. Answer: The y-intercept is 1.

  9. Use the graph to determine the approximate value of The graph represents all real values of x and their corresponding values of y for Answer: The value of y is about 5 when Example 1b Use a calculator to confirm this value.

  10. Graph State the y-intercept. x y –1 4 0 1 1 Example 2a Graph the ordered pairs and connect the points with a smooth curve. Answer: The y-intercept is 1.

  11. Use the graph to determine the approximate value of Answer: The value of y is about 8 when Example 2b Use a calculator to confirm this value.

  12. Depreciation People joke that the value of a new car decreasesas soon as it is driven off the dealer’s lot. The function modelsthe depreciation of the value of a new car that originally cost $25,000. V represents thevalue of the car and t represents the time in years from the time thecar was purchased. Graph the function. What values of V and t are meaningful in thefunction. Answer: Example 3 Use a graphing calculator to graph the function. Only the values of V 25,000 and t 0 are meaningful in the context of the problem.

  13. Original equation Original equation Use a calculator. Use a calculator. Example 3 cont B. What is the value of the car after one year? Answer: After one year, the car’s value is about $20,500. C. What is the value of the car after five years? Answer: After five years, the car’s value is about $9270.

  14. Example 4a Determine whether the set of data displays exponential behavior. Method 1 Look for a Pattern The domain values are at regular intervals of 10. Look for a common factor among the range values. 10 25 62.5 156.25 Answer: Since the domain values are at regular intervals and the range values have a common factor, the data are probably exponential. The equation for the data may involve (2.5)x.

  15. Example 4a cont Method 2 Graph the Data Answer: The graph shows a rapidly increasing value of y as x increases. This is a characteristic of exponential behavior.

  16. Example 4b Determine whether the set of data displays exponential behavior. Method 1 Look for a Pattern The domain values are at regular intervals of 10. The range values have a common difference of 15. 10 25 40 55 +15 +15 +15 Answer: Since the domain values are at regular intervals and there is a common difference of 15, the data display linear behavior.

  17. Example 4b cont Method 2 Graph the Data Answer: The graph is a line, not an exponential function.

  18. Summary & Homework • Summary: • An exponential function is a function that can be described by the equation of the form y = ax, where a > 0 and a ≠ 1 • Homework: • pg

More Related