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Wednesday, November 6 th

Wednesday, November 6 th. Warm Up. 4, 8, 16, 32 What is R ? Write an equation in explicit notation for this sequence. Homework Answers. Whiteboard Review. Practice #1. Practice #2. Define each term. Write a rule for the nth term and find a 6 . 13, 104, 832, 6656, ….

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Wednesday, November 6 th

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  1. Wednesday, November 6th Warm Up 4, 8, 16, 32 What is R? Write an equation in explicit notation for this sequence

  2. Homework Answers

  3. Whiteboard Review

  4. Practice #1

  5. Practice #2

  6. Define each term

  7. Write a rule for the nth term and find a6. 13, 104, 832, 6656, …

  8. Write a rule for the nth term and find a5. a1 = 17, r = -2

  9. Today’s Goal Part I Evaluating Part II Solving

  10. Evaluate Exponential Functions • Substitute given values for x in the given functions. • Simplify Given f(x) = 3(2)x, find: f(1)=f(3)= f(0) =

  11. Substitute given values for x in the given functions. • Simplify Given f(x) = 3(2)x, find: f(5)= f(2)= f(1)=

  12. Solve Exponential Equations • Isolate the exponential expression with an exponent of “x” on one side of the equation. • Rewrite the expression on the other side of the equation as a power of the same base as the one with the exponent of “x”. • Set the exponents equal to each other and solve for x. 2x = 8 23x = 162 7x= 343

  13. Isolate the exponential expression with an exponent of “x” on one side of the equation. • Rewrite the expression on the other side of the equation as a power of the same base as the one with the exponent of “x”. • Set the exponents equal to each other and solve for x. (8)x = 64 ( ) x = 4x = 16

  14. Solve Exponential Equation and Inequalities -- Vocabulary Equations in which variable expressions occur as exponents 7x = 49x + 2 Exponential expressions separated by inequality 7x> 49x + 2

  15. You Try

  16. Solve Exponential Inequalities

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