Find the intervals on which the graph of f is concave upward, the intervals on w

ID: 3343998 • Letter: F

Question

Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points.

f(x)=x^14+2x^2

For what interval(s) of x is the graph of f concave upward? _______(Type answer INTERVAL NOTATION, Exact Answer)

For what interval(s) of x is the graph of f concave downward?_______(Type answer INTERVAL NOTATION, Exact Answer)

Determine the x coordinates of any inflection points of the graph of f(x).______ (Type answer INTERVAL NOTATION, Exact Answer)

a)is always concave upward as double diff of the function is 14*13*x^12+4 [which is always >0]

b)f will not be conceve downward for any value of x

c)there is no point of inflection where the double differentiation is 0

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