JAMB - Mathematics (2005 - No. 15)

The diagram above is the graph of the function f(x). Determine the range of values of x for which f(x) \(\leq\) 0

x \(\leq\) 2
0 \(\leq\) x \(\leq\) 2
-2 \(\leq\) x \(\leq\) 0, x \(\geq\) 2
x \(\leq\) -2, 0 \(\leq\) x \(\leq\) 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 function's graph 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  x \(\leq\) - 2, 0 \(\leq\) x \(\leq\) 2

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