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

Answer: B - f(–4) = g(–4) and f(0) = g(0)

Answer 2

Answer:

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

Step-by-step explanation:

From the given graph, the lines f(x) and g(x) intersects at two different points.

When x=-4, f(-4)=4 and g(-4)=4

When x=0, f(0)=4 and g(0)=4

Therefore, the points which represent where f(x)=g(x) are:

f(-4)=g(-4); and

f(0)=g(0)

The correct option is B.