Sections 1.4 & 1.5

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Sections 1.4 & 1.5 Inverse Functions, Exponential and logarithmic Functions

Text for Section 1.4 Inverse Functions

Text for Section 1.5 Exponential and logarithmic Functions

Learning Outcomes

  • Determine the conditions for when a function has an inverse.
  • Use the horizontal line test to recognize when a function is one-to-one.
  • Find the inverse of a given function.
  • Draw the graph of an inverse function.
  • Evaluate inverse trigonometric functions.

  • Identify the form of an exponential function.
  • Explain the difference between the graphs of xb and bx.
  • Recognize the significance of the number e.
  • Identify the form of a logarithmic function.
  • Explain the relationship between exponential and logarithmic functions.
  • Describe how to calculate a logarithm to a different base.
  • Identify the hyperbolic functions, their graphs, and basic identities.


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