MTH 125 Calculus I. SECTION 1.5 Inverse Functions.

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Presentation transcript:

MTH 125 Calculus I

SECTION 1.5 Inverse Functions

Inverse of a Function Definition (p. 37) Note

Pictorial Representation

Example 1

Graphically...

Inverses Additional Properties of Inverses The Existence of an Inverse Function (p. 39) A function has an inverse function if and only if it is one-to- one. Thus, graphically it will have to pass the horizontal line test.

Example 2

Finding the Inverse of a Function

Example 3

Inverse Trigonometric Functions

“Inverting” Trigonometric Functions

Formal Definitions

Inverse Trigonometric Properties

Example 4

Example 5

Example 6

Example 7

SECTION 1.6 Exponential & Logarithmic Functions

Example 1

Exponential & Logaritimic Fnc.’s

The Number e and the ln Function

Example 2

Example 3

Example 4

Logarithms Properties of (Natural) Logarithms

Logarithms (cont.) Properties of (Natural) Logarithms (cont.)

Example 5

Example 6

Example 7