Question

in the equation x^2-14x+49 on what interval is f increasing and on what interval is f decreasing

Answer 1

you know calculus eh?

Answer 2

increasing (7, oo) decreasing (-oo, 7) ?

Answer 3

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

Answer 4

you can either just look at the graph or you can do derivative tests.