The diagram above is the graph of the function f(x). Determined the range of values of x for which f(x) ≤ 0
A.
x ≤ 2
B.
0 ≤
x ≤
2
C.
-2 ≤
x ≤
0, x ≥
2
D.
x ≤
-2, 0 ≤
x ≤
2
Correct Answer: -2 ≤
x ≤
0, x ≥
2
Explanation
The graph of the function f(x) is a curve that starts at (-2,0) and ends at (2,0) with a peak at (0,1). The range of values of x for which f(x) ≥ 0 is the interval where the graph of the function is above or touches the x-axis. From the given graph, we can see that this interval is [-2, 2]. Therefore, the correct answer is -2 ≤ x ≤ 0, x ≥ 2
The graph of the function f(x) is a curve that starts at (-2,0) and ends at (2,0) with a peak at (0,1). The range of values of x for which f(x) ≥ 0 is the interval where the graph of the function is above or touches the x-axis. From the given graph, we can see that this interval is [-2, 2]. Therefore, the correct answer is -2 ≤ x ≤ 0, x ≥ 2
