Graph y = square root of x

Problem

y=√(,x)

Solution

1. Identify the domain of the function. Since the square root of a negative number is not a real number, the value under the radical must be non-negative.

x≥0

2. Determine the range of the function. The principal square root always yields a non-negative result.

y≥0

3. Calculate key points to plot on the coordinate plane by choosing perfect square values for x

If *x=0,y=√(,0)=0

If *x=1,y=√(,1)=1

If *x=4,y=√(,4)=2

If *x=9,y=√(,9)=3

4. Plot the points (0,0) (1,1) (4,2) and (9,3) on a graph.

5. Draw a smooth curve starting from the origin (0,0) and passing through the plotted points, extending to the right. This represents the top half of a horizontal parabola.

Final Answer

y=√(,x)

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