Math Functions & Techniques : How to Find the Domain & Range of a Function

Finding the domain and range of a function is as simple as finding the possible X and Y values, respectively. Learn about X and Y values as dependent and independent variables with help from a math teacher in this free video on math functions and lessons.

Expert: Jimmy Chang
Bio: Jimmy Chang has been a math teacher at St. Pete College for nearly a decade. He has a master's degree in math, and his specialties include calculus, algebra, liberal arts, math and trigonometry.
Filmmaker: Christopher Rokosz

Category:

Howto & Style

Tags:

• math
• mathematics
• math functions
• math techniques
• math problems
• math help
• math lessons
• math tutor
• calculations

[prowsey1993]

i would prefer if there were a few harder examples where the range is not that obvious..

[gbuitronccc]

i'M COMPLETELY LOST :(

[razzypoop]

this guys annoying

[prowsey1993]

ok. so say you have the function: f(x) = sin(2x) + cos(3x). what would be the fastest way to determine its range?

[grumpybritishguy]

@prowsey1993 that's how it always is. why can't the examples be like actual examples, not the real problems stupid relatives.

[shimanchunutakara]

@muhammedahmed1000 Any number can be squared, so the domain is the set of all real numbers.However, since the values of y cannot be negative, making the range the set of all nonnegative numbers, or in interval notation.

[exoticdhillon]

why r u just doin simple questions, go to something more complicated!!!

[AnaLilian1994]

@49mdog you dont have a live but that was funny! lmbo

[muhammedahmed1000]

so what if its x squared

[49mdog]

Pause at 0.09 he wants a kiss

[Gwtp09]

pause at 0:03 He so sexy.

[girlee32114]

@rosemellor Actually no, when you see a surd (square root) you assume it's the positive square root unless the +- sign is to the left of it.