Graph of f' 76. The graph of f', the derivative of the function f, is shown above for -3 ? x ? 3. On what intervals is f increasing? (A) [-3, -1] only (B) [-1, 3] (C) [-2, 0] and [2, 3] (D) [-3, -1] and [1, 3]
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If f' is positive, then f is increasing. If f' is negative, then f is decreasing. Show more…
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(a) Sketch the graph of $f .$ (b) Find the domain $D$ and range $R$ of $f$. (c) Find the intervals on which $f$ is increasing, is decreasing, or is constant. $$f(x)=3 x-2$$
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Definition of Function
Given the derivative of the function, use sign chart to determine the interval(s) on which f is increasing. f'(x) = (2x - 1)(x + 1)(x - 3) A) (-∞, -1) ∪ (1/2, 3) B) (-1, 1/2) ∪ (3, ∞) C) (-1, 1/2) ∪ (1, ∞) D) (-∞, -1) ∪ (3, ∞) E) (-1, 3) ∪ (3, ∞)
Andrew N.
(a) Sketch the graph of $f .$ (b) Find the domain $D$ and range $R$ of $f$. (c) Find the intervals on which $f$ is increasing, is decreasing, or is constant. $$f(x)=3$$
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