From the diagram, we see that
By substituting the
-coordinates of these points into the function, we can determine if this is the case.
We can't calculate the square root of a negative number. Therefore, the function does not pass through this point. Let's do the same thing for the second point.
Therefore, the function does not go through
Drawing the correct graph
To draw the graph correctly, we should first find the lower limit of the . As already explained, the radicand has to be nonnegative, so by setting it equal to zero, we can find the domain's lower limit.
When we know the lower limit of the domain, we can find it's corresponding
The graph passes through
By setting the function equal to
we can find where it crosses the
The graph also passes through
With this, we can graph the correct equation.