Hence, the domain and range of function f(x) = x² are:
Domain: (-∞, ∞) {x | x ∈ R}
Range: [0, ∞) {y | y ≥ 0}
What are the domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
We have,
f(x) = x² ,
The function f(x) = x² has a domain of all real numbers (x can be anything) and a range that is greater than or equal to zero.
Interval notation
For f(x) = x², the domain in interval notation is:
D: (-∞, ∞)
D indicates that you are talking about the domain, and (-∞, ∞), read as negative infinity to positive infinity, is another way of saying that the domain is "all real numbers."
The range of f(x) = x² in interval notation is:
R: [0, ∞)
R indicates the range. The range of the function excludes ∞ (every function does),
The domain of f(x) = x² in set notation is:
D: {x | x ∈ R}
The range of f(x) = x² in set notation is:
R: {y | y ≥ 0}
Hence, the domain and range of function f(x) = x² are:
Domain: (-∞, ∞) {x | x ∈ R}
Range: [0, ∞) {y | y ≥ 0}
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