Unit 1: Functions

Prereq Test 1

Overview 1

1.1 Interpreting Functions

1.2 Building Functions

1.3 Different Representations

1.4 Inverse Functions

Lesson Objectives

  • Understand the concept of a function and use function notation.

    • find domain and range

    • evaluate functions

  • Interpret functions that arise in applications in terms of context.

    • intercepts, intervals of increasing, decreasing, constant, positive, negative, relative extrema, symmetries, end behavior, and periodicity

    • appropriate domains

    • average rates of change

  • Analyze functions using different representations.

  • Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

  • Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

    • For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.