(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 ) is also said to have attained a local minimum 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 a case f ( a ) is called the local minimum value of f ( x ) at x = a .
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