The figure is the graph of the derivative, ( f^{prime} ), of a function ( f ) on ( [-4,4] ). Determine the intervals on which ( f ) is increasing. (Use the symbol ( cup ) for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) ( f ) is increasing on ( square ) Determine the intervals on which ( f ) is decreasing. (Use the symbol ( cup ) for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) ( f ) is decreasing on ( square ) Determine the intervals on which ( f ) is concave down. (Use the symbol ( cup ) for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) ( f ) is concave down on ( square ) Determine the intervals on which ( f ) is concave up. (Use the symbol ( cup ) for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) ( f ) is concave up on ( square )
Added by Charlie T.
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This is because when \( f' > 0 \), the original function \( f \) is increasing. Show more…
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The graph of the first derivative f' of a function f is shown. On what intervals is f increasing? On what intervals is f decreasing? At what value(s) of x does f have a local maximum? At what value(s) of x does f have a local minimum? On what interval(s) is f concave upward? What are the x-coordinate(s) of the inflection point(s) of f?
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