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in the equation x^2-14x+49 on what interval is f increasing and on what interval is f decreasing
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you know calculus eh?
increasing (7, oo) decreasing (-oo, 7) ?
You'll want to find the derivative f' first, so differentiate x^2-14x+49. Then set f' equal to zero, and find x. After you find that x value, choose a point to the left and right of it, and then plug those points into the f', and see if it's positive. Looks like you already did that :) A graph confirms it: https://www.google.com/search?q=x%5E2-14x%2B49&aq=f&oq=x%5E2-14x%2B49&aqs=chrome.0.57&sourceid=chrome&ie=UTF-8
you can either just look at the graph or you can do derivative tests.
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