The graph for the given function is shown in the figure below. The domain of the function f(x) = √x is R and the range of the function is [0 +∞).
The given function is f(x)=√x;
Consider the domain for the given function as x ∈ R; i.e., (-∞ +∞).
Then, substituting all these values in the given function results as follows:
x = -1; f(-1) = √(-1);
Since for the negative inputs, the function does not exist.
So, applying the positive values,
x = 0; f(0) = √0 = 0
x = 1; f(1) = √1 = 1
x = 2; f(2) = √2 = 1.414
x = 3; f(3) = √3 = 1.73
x = 4; f(4) = √4 = 2
x = 5; f(5) = √5 = 2.23
and so on.
So, the range of the function is [0 +∞).
On plotting all these points in the graph and connecting those points results in a curve as shown in the figure below.
Learn more about the graph of a function here:
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