5. If f \'\'(x) > 0 for all x in an interval, then a. f(x) is increasing on the

Question

5. If f ''(x) > 0 for all x in an interval, then a. f(x) is increasing on the interval b. f(x) is decreasing on the interval c. f(x) is concave upwards on the interval d. f(x) is concave downwards on the interval e. None of the above 6. If La(x) is the linear approximation to f(x), then a. the graph of La(x) is the tangent line to f(x) through (a, f(a)) b. La(a) = f(a) c. La'(a) = f '(a) d. All of the above e. None of the above 7. Find the interval on which the graph of f(x) = ln(x^2 + 1) is concave upward. a. (-1,1) b. (-1,2) c. (-2,1) d. (-1,1) e. None of the above .

Explanation / Answer

5 d 6 a 7 d

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