Chapter 7 Exponential and Logarithmic Functions

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• Lesson 1-3 Evaluating Expressions

  Evaluate each expression for x = − 2 , x equals negative 2 comma  0, and 2.

  1. 10 x + 1 10 super x plus 1 end super
  2. ( 3 2 ) x open , 3 halves , close to the x
  3. − 5 x − 2 negative . 5 super x minus 2 end super
  4. − ( 3 ) 0.5 x negative . open 3 close super 0.5 x end super

• Lesson 2-5 Using Linear Models

  Draw a scatter plot and find the line of best fit for each set of data.

  5. (0, 2), (1, 4), (2, 6.5), (3, 8.5), (4, 10), (5, 12), (6, 14)
  6. (3, 100), (5, 150), (7, 195), (9, 244), (11, 296), (13, 346), (15, 396)

• Lessons 4-1 and 5-9 Graphing Transformations

  Identify the parent function of each equation. Graph each equation as a transformation of its parent function.

  7. y = ( x + 5 ) 2 − 3 y equals open x plus 5 , close squared , minus 3
  8. y = − 2 ( x − 6 ) 3 y equals negative 2 open x minus 6 , close cubed

• Lesson 6-4 Simplifying Rational Exponents

  Simplify each expression.

  9. ( x 1 5 ) 10 open , x super 1 fifth end super , close to the tenth
  10. ( − 8 x 3 ) 4 3 open . negative 8 , x cubed . close super 4 thirds end super

• Lesson 6-7 Finding Inverses

  Find the inverse of each function. Is the inverse a function?

  11. y = 10 − 2 x 2 y equals 10 minus , 2 x squared
  12. y = ( x + 4 ) 3 − 1 y equals open x plus 4 , close cubed , minus 1

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