|Real Number System |||Absolute Value |||Functions and Graphs |||Trigonometry |||Basic Graphing Skills |||Studying a Function |||Algebraic Skills |||Answer Section|
|Section 1 | Section 2 | Section 3 |||Section 4 | Section 5 |||Section 6 | Section 7 | Section 8 | Section 9 | Section 10 | Section 11 | Section 12 |||Section 13 | Section 14 | Section 15 | Section 16 | Section 17 | Section 18 |||Section 19 |||Section 20 | Section 21 | Section 22 |||Section 23 |||Answers|
Functions are a fundamental concept in all mathematics courses, including calculus. You need to understand of how to describe the domain, describe the range, describe the rule, and form composite functions.
A FUNCTION is a rule, usually written algebraically like
y=3x-2, that assigns each number in a DOMAIN to exactly one number in the
For example, ,
the domain of this function is all real numbers, and the range is all
non-negative real numbers (zero and all positive real numbers). The
rule is to first square the number in the domain and then take the
principal square root (positive answer only) of the answer.
A composite function is denoted .
Meaning: A number x is placed in the function f first and then that result is placed in the function g. The final results is g(f(x)).
Check Your Understanding: (Remember to write down your answers to these questions.)
Describe the domain and range of f and g. Then form the function f(g(x)) and describe the domain and range of this composed function, if
This page was last modified on 03/21/16
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