Question

Use the image to answer the question.

A v-shape that opens upward and a point plotted at the vertex of the v-shape are plotted on a coordinate plane.
▶Click for Long Desc

Select the equation of the piecewise function shown in the graph.

(1 point)

f(x)={−x−4x+4ififx≤−2x>−2


f(x)={−2x−42x+4ififx<−2x>−2


f(x)={−2x2x+4ififx<−2x≥−2


f(x)={−2x−42x+4ififx<−2x≥−2

Skip to navigation

Answer 1

f(x) = { -2x - 4, if x < -2; 2x + 4, if x ≥ -2 }.

Reason: At x = -2 both pieces give 0, so the vertex is (−2,0). The left/right slopes are −2 and +2, producing the upward V.