Podcast
Questions and Answers
What is the domain of a function that has a horizontal line?
What is the domain of a function that has a horizontal line?
For a function f(x) = |x|, what is the range of the function?
For a function f(x) = |x|, what is the range of the function?
What is the domain of the function f(x) = √(x-3)?
What is the domain of the function f(x) = √(x-3)?
What is the domain of the function f(x) = √(x-2)?
What is the domain of the function f(x) = √(x-2)?
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For the function g(x) = 1/x, what is the range?
For the function g(x) = 1/x, what is the range?
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What is the domain of the function h(x) = log(x+3)?
What is the domain of the function h(x) = log(x+3)?
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Study Notes
Domain and Range of Functions
- The domain of a function that has a horizontal line is all real numbers (since it is defined for all values of x).
Absolute Value Function
- The range of the function f(x) = |x| is [0, ∞) since the absolute value function always gives a non-negative value.
Square Root Functions
- The domain of the function f(x) = √(x-3) is [3, ∞) since the expression inside the square root cannot be negative.
- The domain of the function f(x) = √(x-2) is [2, ∞) since the expression inside the square root cannot be negative.
Reciprocal Function
- The range of the function g(x) = 1/x is all real numbers except 0, since the function is never equal to 0.
Logarithmic Function
- The domain of the function h(x) = log(x+3) is (-3, ∞) since the argument of the logarithm function must be positive.
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Description
Test your knowledge of domain and range in mathematics with this quiz. Explore the domain of functions with horizontal lines, such as f(x) = c. Identify the range of the absolute value function f(x) = |x|. Determine the domain of functions with square roots, like f(x) = √(x-3).
