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

B

Explanation:

Answer 2

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

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.