6. f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below. -8 -3 0 3 8 f'(x) -4 -2 045 X If f '(x) is always increasing, which statement about f(x) must be true? f(x) passes through the origin. f(x) is concave downwards for all x. f(x) has a relative minimum at x = 0. f(x) has a point of inflection at x = 0.
6. f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below. -8 -3 0 3 8 f'(x) -4 -2 045 X If f '(x) is always increasing, which statement about f(x) must be true? f(x) passes through the origin. f(x) is concave downwards for all x. f(x) has a relative minimum at x = 0. f(x) has a point of inflection at x = 0.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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