# Sections 1.4 & 1.5 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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