Give an example of a graph of a function S, that satisfies all of the conditions below: • Increasing on intervals (−∞, −2) U (1, ∞) • Decreasing on interval (−2, 1) • Relative maximum value is 3 • Relative minimum value is −1
Give an example of a graph of a function S, that satisfies all of the conditions below: • Increasing on intervals (−∞, −2) U (1, ∞) • Decreasing on interval (−2, 1) • Relative maximum value is 3 • Relative minimum value is −1
Give an example of a graph of a function S, that satisfies all of the conditions below: • Increasing on intervals (−∞, −2) U (1, ∞) • Decreasing on interval (−2, 1) • Relative maximum value is 3 • Relative minimum value is −1
Give an example of a graph of a function S, that satisfies all of the conditions below: • Increasing on intervals (−∞, −2) U (1, ∞) • Decreasing on interval (−2, 1) • Relative maximum value is 3 • Relative minimum value is −1
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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