Question

Two functions are graphed on the coordinate plane.

On a coordinate plane, a curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A straight horizontal line, labeled f of x, crosses the y-axis at (0, 4).
Which represents where f(x) = g(x)?

f(4) = g(4) and f(0) = g(0)
f(–4) = g(–4) and f(0) = g(0)
f(–4) = g(–2) and f(4) = g(4)
f(0) = g(–4) and f(4) = g(–2)

Answer 1

f(4) = g(4) and f(0) = g(0)

Reason: f is the horizontal line y = 4, so f(x) = 4 for all x. From the graph g(0) = 4 and g(4) = 4, so g equals f at x = 0 and x = 4.