Graph y = square root of x-1

Problem

y=√(,x−1)

Solution

1. Identify the domain by setting the expression under the radical to be greater than or equal to zero.

x−1≥0

x≥1

2. Determine the starting point of the graph by substituting the minimum domain value x=1 into the equation.

y=√(,1−1)

y=0

The graph starts at the point (1,0)

3. Calculate additional points to determine the shape of the curve.
   For x=2

y=√(,2−1)=1

For x=5

y=√(,5−1)=2

For x=10

y=√(,10−1)=3

4. Plot the points (1,0) (2,1) (5,2) and (10,3) on a coordinate plane and draw a smooth curve starting from (1,0) and extending to the right.

Final Answer

y=√(,x−1)

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