0

Guest

Courses New

How do we find domain and range of a given function?

How do we find domain and range of a given function?

Grade:11

1 Answers

Faiz
107 Points
7 years ago
You can find domain f(x) by getting possible values of x for which f(x) is defined. For example functions having square root remove intervals where it is negative, keep in mind that the denominator should not be 0 as anytging/0 is not defined, for logarthmic functions the quantity inside the log should be >0, base should be >0(leaving 1) for modulus functions divide it into cases, solve inequalities where needed.Remember dom(f+or-g)=dom f intersection dom g, dom f*g=dom f intersection dom g and dom(f/g)=dom f intersection dom g - {x: g(x) = 0}.Once you get the domain you can take out range. One method to take out range is to get max and min value of function which gives the range.The most useful method is by plotting the GRAPH (where possible) and solving by above methods..by graph you can take out domain and range..and remember basic properties of functions like greatest integer and fractional part domains and range of triginometric and inverse trigonometric functions, logarithmic functions, modulus functions, etc..For compound functions like f(g(x)) you can solve by 2 mehods graph and analytically..

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More