Question

Which graph shows a function where f(2) = 4?

On a coordinate plane, a curved line with an upward arc crosses the y-axis at (0, 1) and exits the plane at points (negative 4, 14) and (4, 14).

On a coordinate plane, a curved line with a downward arc crosses the y-axis at (0, negative 1) and exits at points (negative 4, negative 14) and (4, negative 14).

On a coordinate plane, a curved line with an upward arc exits the plane at points (7, 14) and (13, 14) with the bottom of the arc at point (10, 3).

On a coordinate plane, a curved line with an upward arc exits the plane at points (negative 14, 12) and (negative 6, 14) with the bottom of the arc at point (negative 10, negative 3).

Answer 1

The first graph (the upward arc crossing the y-axis at (0,1) and exiting at (−4,14) and (4,14)).

Reason: it’s the only graph that contains x = 2; the others either give a negative y at x = 2 or do not include x = 2 on the visible arc.