Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0.
A) (-∞, 2]
B) [-2, ∞)
C) [-2, 2)
D) [2, ∞)
E) [-2, ∞)

Question

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. ​  ​
A)​ ​ (-∞, 2] 
B)​ ​ [-2, ∞) 
C)​ ​ ​[-2, 2) 
D)​ ​ [2, ∞) 
E)​ ​ [-2, ∞)

Quizplus · Accepted Answer

The graph of the function is a downward facing parabola, opening towards negative y-axis. The vertex is at (2,-4). Therefore, f(x) is greater than or equal to 0 for all x greater than or equal to 2. The interval is [2, ∞). Choice D is the only option that includes this interval.

Select the Graph of the Given Function and Determine the Interval(s)