The diagram above is the graph of the function f(x). Determine the range of values of...

The diagram above is the graph of the function f(x). Determine the range of values of...

Mathematics

JAMB 2005

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

A. x \(\leq\) 2
B. 0 \(\leq\) x \(\leq\) 2
C. -2 \(\leq\) x \(\leq\) 0, x \(\geq\) 2
D. x \(\leq\) -2, 0 \(\leq\) x \(\leq\) 2

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Correct Answer: Option D

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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