(a) Sketch the graph of a function that has one local minimum, two local maxima, and four critical numbers. (b) Sketch the graph of a function that has two local maxima, three local minimum, and no absolute maximum.
(a) Sketch the graph of a function that has one local minimum, two local maxima, and four critical numbers. (b) Sketch the graph of a function that has two local maxima, three local minimum, and no absolute maximum.
(a) Sketch the graph of a function that has one local minimum, two local maxima, and four critical numbers. (b) Sketch the graph of a function that has two local maxima, three local minimum, and no absolute maximum.
3. (a) Sketch the graph of a function that has one local minimum, two local maxima, and four critical numbers. (b) Sketch the graph of a function that has two local maxima, three local minimum, and no absolute maximum.
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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