Pre-Calc Exam Notes 109

Pre-Calc Exam Notes 109 - Properties of Graphs of...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Properties of Graphs of Trigonometric Functions Section 5.2 109 5.2 Properties of Graphs of Trigonometric Functions We saw in Section 5.1 how the graphs of the trigonometric functions repeat every 2 π radi- ans. In this section we will discuss this and other properties of graphs, especially for the sinusoidal functions (sine and cosine). First, recall that the domain of a function f ( x ) is the set of all numbers x for which the function is de±ned. For example, the domain of f ( x ) = sin x is the set of all real numbers, whereas the domain of f ( x ) = tan x is the set of all real numbers except x = ± π 2 , ± 3 π 2 , ± 5 π 2 , .... The range of a function f ( x ) is the set of all values that f ( x ) can take over its domain. For example, the range of f ( x ) = sin x is the set of all real numbers between 1 and 1 (i.e. the interval [ 1,1]), whereas the range of f ( x ) = tan x is the set of all real numbers, as we can see from their graphs. A function
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online