What are the x- and y-intercepts of y=sqrt(2x-1)y=2x1?

1 Answer
Jun 16, 2015

There is no intercept with the yy axis.

The intercept with the xx axis is at (1/2, 0)(12,0)

Explanation:

If y = sqrt(2x-1)y=2x1 intercepted the yy axis, then it would be where x=0x=0, but then y = sqrt(-1)y=1 is not defined in RR.

In fact, y = sqrt(2x-1) is only defined for x >= 1/2.

If y = 0 then 2x - 1 = 0 so x = 1/2. So the intercept with the x axis is at (1/2, 0)

graph{sqrt(2x-1) [-10, 10, -5, 5]}