Question

The graph of f(x)=√x

Answer 1

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 +∞).

How to graph the given function?

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:

brainly.com/question/26857518

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