The range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5
Determining the range of a function
From the question, we are to determine the range of f.
The range of a function is the set of its possible output values.
The graph of the function, f, is shown in the diagram.
From the graph,
The minimum value of f on the x-axis is -6. That is, f(x) ≥ -6
and
The maximum value of f on the x-axis is 5. That is, f(x) ≤ 5
Combining the two expressions, we get
f(x) ≥ -6 and f(x) ≤ 5
That is,
-6 ≤ f(x) and f(x) ≤ 5
∴ -6 ≤ f(x) ≤ 5
Hence, the range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5
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