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Date: Lesson 8.1

Date: Lesson 8.1. I can graph exponential growth functions; graph exponential decay functions. Common Core: CC.9-12.F.IF.7e CRS: FUN 501. Topic : Exponential Growth.

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Date: Lesson 8.1

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  1. Date:Lesson 8.1

  2. I can graph exponential growth functions; graph exponential decay functions. Common Core: CC.9-12.F.IF.7e CRS:FUN 501.

  3. Topic: Exponential Growth. CC.9-12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.* CRS FUN 501. Evaluate polynomial functions, expressed in function notation, at integer values

  4. Bell Ringer

  5. Warm-Up Exercises Warm-Up Exercises 2. • 5 23 ( – )2 x 2 3. • – 3 42 1 + y – = State the domain and range of the function 4. 3. + Evaluate the expression without using a calculator. 1. 5 2 –

  6. Warm-Up Exercises Warm-Up Exercises 1 ANSWER 25 y ≤ 3 ANSWER 40 2. • 5 23 ( – )2 x 2 3. • ANSWER – – 192 3 42 1 + y – = State the domain and range of the function 4. 3. + domain: all real numbers; range: ANSWER Evaluate the expression without using a calculator. 1. 5 2 –

  7. Example 1 SOLUTION a 1 = y ab x = > b 1 x 0 1 2 3 2 1 y – – Graph when and Graph the function y 2x. = Make a table of values for the function.

  8. Example 1 1 1 SOLUTION 2 4 a 1 = y ab x = > b 1 x 0 1 2 3 2 1 y 1 2 4 8 – – Graph when and Graph the function y 2x. = Make a table of values for the function.

  9. Example 1 1 1 SOLUTION 2 4 a 1 = y ab x = > b 1 x 0 1 2 3 1 2 y 1 2 4 8 – – Graph when and Graph the function y 2x. = Make a table of values for the function. Plot the points from the table.

  10. Example 1 1 1 SOLUTION 2 4 a 1 = y ab x = > b 1 x 0 1 2 3 1 2 y 1 2 4 8 – – Graph when and Graph the function y 2x. = Make a table of values for the function. Plot the points from the table. Draw a curve that passes through the plotted points, as shown.

  11. Example 1 1 1 SOLUTION 2 4 a 1 = y ab x = > b 1 x 0 1 2 3 1 2 y 1 2 4 8 – – Graph when and Graph the function y 2x. = Make a table of values for the function. Plot the points from the table. Draw a curve that passes through the plotted points, as shown.

  12. Example 2 = • y 2 3x. = 2 2 1 3 9 4 SOLUTION a. Make a table of values. Then plot the points. > b 1 1 2 3 – – – x 0 1 2 y 2 6 27 Graph when and y ab x a 1 = a. Graph b. Graph • y 2x. = Draw a curve that passes through the plotted points, as shown at the right.

  13. Example 2 = 1 1 1 8 2 4 x 0 1 2 3 > b 1 y 1 2 1 – Graph when and y ab x a 1 = b. Make a table of values. Then plot the points. Draw a curve that passes through the plotted points, as shown at the right.

  14. Checkpoint y 5x = ANSWER y ab x = > b 1 2. ANSWER Graph when Graph the exponential function. 1. y 4x =

  15. Checkpoint • y 4 3x = ANSWER y ab x = > b 1 • y 0.1 2x = 4. ANSWER Graph when Graph the exponential function. 3.

  16. EXIT SLIP

  17. Graph .Describe the asymptote and state the domain and range. 1. ANSWER 3 The asymptote is the x-axis; domain: all real numbers; range: y>0 • y 2x = 2

  18. 2. . Graph Describe the asymptote and state the domain and range. • – y 1 2x 2 3 = – – 1 y ANSWER = The asymptote is the line ; domain: all real numbers; range: y – 1 >

  19. 3. Evaluate the model when ( )x x M 1.3 42.5 7. = = ANSWER 266.68

  20. Practice

  21. Math is Fun.

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