Find Range of Sine Functions
Find the range of sine functions; examples and matched problems with their answers at the bottom of the page.
Graphical Analysis of Range of Sine FunctionsThe range of a function y = f(x) is the set of values y takes for all values of x within the domain of f.What is the range of y = f(x) = sin(x)? The domain of f above is the set of all values of x in the interval ( -∞ , +∞) As x takes values from -∞ to +∞, sin(x) takes all values between -1 and 1 as shown in the unit circle below. Hence In general the range of any sine function of the form y = sin (b x + c) is given by ![]()
Examples with SolutionsExample 1:Find the range of function f defined bySolution to Example 1
Matched Problem 1:Find the range of function f defined by
Example 2Find the range of function f defined bySolution to Example 2
Matched Problem 2:Find the range of function f defined by
Example 3Find the range of function f defined bySolution to Example 3
Matched Problem 3:Find the range of function f defined by
Answers to the Above Matched Problems1) [-1 , 1]2) [ - 1/5 , 1/5] 3) [-1 , 7] More References and LinksFind domain and range of functions, Find the range of functions, find the domain of a function and mathematics tutorials and problems. |