Problem

Use the square-root graph and line to report every intersection input and point, including any included endpoint.

Coordinate graph of a square-root curve and a line. Both graphs share the square-root endpoint (1,0) and cross again near (5,2), giving visible intersection inputs near x=1 and x=5.

Big Picture

What this problem is really about

Start with the common domain before scanning for crossings, because a radical graph begins at a boundary rather than extending indefinitely in both directions. An included endpoint counts when both graphs meet there. Then follow the rest of the radical curve for any additional shared points and use the horizontal coordinates of every valid crossing.

Answer choices

Choose your path.

Preview only

Two intersections: x approximately 1 and x approximately 5, at points (1,0) and (5,2).

One intersection: x approximately 5 only, at point (5,2); the endpoint (1,0) is excluded.

Two intersections: x approximately 0 and x approximately 2, from swapping the coordinates of (1,0) and (5,2).

One intersection: x approximately 1 only, at point (1,0); the crossing (5,2) is excluded.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Use the square-root graph and line to report every intersection input and point, including any included endpoint.

What this problem is really about

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.