# Domain and Range of a Function

Understanding the domain and range of a function is essential in mathematics, providing fundamental insights into its behavior and output. The domain represents all possible input values that the function can accept, defining its scope of operation. Conversely, the range encompasses all possible output values that the function can produce based on its domain, illustrating the extent of its influence. Mastery of these concepts enables precise analysis of functions, facilitating problem-solving and mathematical modeling across various disciplines.

Questions

- What is the domain and range of #y=x^2#?
- What is the domain of #f(x)=(x-2)/(x+4)#?
- How do you find the domain of #f(x)=(x^3+x^2-22x-40)/(x^4-x^3-7x^2+x+6)#?
- What is the Domain of #y = 2x^2 - 3x + 8#?
- How do you find the domain and range of #f(x) =2sinx#?
- What is the domain and range of #y = 13x+1#?
- How do you find the domain and range of #x= -7#?
- How do you find the Domain of #f(x) = 7x^5 - 3x^2 - 2#?
- What is the domain of the function: #(2x-1) / (x²+2)#?
- What is the domain and range of #g(x)=2/(x+5)#?
- What is the domain and range of #y= 1/2x#?
- Functions: Give an appropriate domain for #g(x)# which enables #g^-1(x)# to exist?
- How do you find the domain and range of #f(x)= (2x^2+7x-15) / (x+5)#?
- What is the range of the function #f(x) = x^3 + 5#?
- What is the range of #y=(-4x-3)/(x-2)#?
- What is the domain and range of #g(x) = x/2#?
- How do you find the domain for #x/(3x-1)#?
- What is the domain and range of #g(x)= 2/ (x-1)#?
- What is the domain and range of #y=sec^2x+1#?
- What is the range of #y = 2x-2#?