What Is the Domain of a Function?
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- (Video) Introduction to Functions by mathman1024 In this video, mathman1024 explains the basics of functions. He goes over what the domain is and how you find it. Summary\large{…
By Alex Federspiel, Amy Feraco
- What is Domain? The domain of a function is all the possible xxx-values, or inputs, that that function can take. This includes positive numbers and negative numbers. If a functi…
By Alex Federspiel, Caroline K, Anusha Rahman
- Domain of a Function The domain of a function is the set of all valid inputs for the function. A valid input yields a valid output. For example, say your function is f(x)=x+1f(x…
By Caroline K
Problems 29
- What is the domain of the function graphed above?
- What is the domain of the function graphed above?
- What is the domain of the function graphed above?
- What is the domain of the function graphed above?
- What is the domain of the function graphed above?
- True or False\text{True or False}True or False === The domain of a function f(x)f(x)f(x) pertains to the possible xxx-values (inputs) of the function.
- What are the domain and range of the function graphed above?
- Find the domain of f(x)=5x+34x−1f(x)=\frac{5x+3}{4x-1}f(x)=4x−15x+3.
- Find the domain of f(x)=x−3x2+9x−22f(x)=\frac{x-3}{x^2+9x-22}f(x)=x2+9x−22x−3.
- Find the domain of f(x)=x−8x2+8x−9f(x)=\dfrac{x-8}{x^2+8x-9}f(x)=x2+8x−9x−8.
- Select the pieces of a piecewise function that matches the graph above.
- Select the pieces of a piecewise function that matches the graph above.
- Find the number of possible different functions f :{0,1}→{0,1}f\colon \{0,1\}\to \{0,1\}f:{0,1}→{0,1}.
- What are the possible input values for xxx in the function y=32xy=\frac{3}{2}xy=23x graphed above?
- What is a continuous domain?
- Consider some function defined for any real input, like f(x)=x2f(x) = x^2f(x)=x2. Which of the following sets is a discrete subset of the domain of f(x)f(x)f(x)?
- "Final question. What is the domain and range of the function f(x)=x2x2−4f(x)=\dfrac{x^2}{x^2-4}f(x)=x2−4x2?" \\ The woman gave a small smile.
- What is the domain of the function?
- What is the domain of this function?
- What is the domain of this function?
- Which line(s) has a domain of −3≤x≤0-3\le x\le0−3≤x≤0?
- Which line has the domain −1≤x≤4-1\le x\le4−1≤x≤4?
- True or False\text{True or False}True or False === If a function has a domain of all real numbers, its range will also contain all real numbers.
- A college has a webpage that allows someone to input a student's name and returns their year and major. What is the "domain"?
- The possible inputs of some mysterious function fff are the following: 1,2,3,5,7,8,111,2,3,5,7,8,111,2,3,5,7,8,11. The possible outputs of fff are the following: 5,4,3,0,−1,−5,−…
- Which of the following is not in the domain of the function y=x+4y=\sqrt{x+4}y=x+4?
- What is the domain of the function in the graph above?
- What is the domain of g=a+1a+2g=\frac{a+1}{a+2}g=a+2a+1?
- Function f(x)f(x)f(x) is defined for all real numbers xxx except for 3<x<43<x<43<x<4, 6<x<76<x<76<x<7 and 9<x<109<x<109<x<10. What is the domain of f(x)f(x)f(x)?