Question: Suppose that the function y = f ( x) is decreasing on the interval [2, 7 ]. (a) Over what interval is the graph of

Suppose that the function y = f ( x) is decreasing on the interval [−2, 7 ].

(a) Over what interval is the graph of y = f (x + 2) decreasing?

(b) Over what interval is the graph of y = f (x − 5) decreasing?

(c) Is the graph of y = −f ( x) increasing, decreasing, or neither on the interval [−2, 7]?

(d) Is the graph of y = f (−x) increasing, decreasing, or neither on the interval [−7, 2]?

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