Consider the function in the attached image (a) Give the intervals where f(x) is increasing and the intervals where f(x) is decreasing. Write one sentence explaining how you found these intervals. (b) List all relative maximum and minimum points. Write one sentence explaining how you found and classified these points. (c) Give the intervals where f(x) is concave up and the intervals where f(x) is concave down. Write one sentence explaining how you found these intervals. (d) List all inflection points off(x). Write one sentence explaining how you found these points. (e) Sketch a graph of the functionf(x).
Consider the function in the attached image (a) Give the intervals where f(x) is increasing and the intervals where f(x) is decreasing. Write one sentence explaining how you found these intervals. (b) List all relative maximum and minimum points. Write one sentence explaining how you found and classified these points. (c) Give the intervals where f(x) is concave up and the intervals where f(x) is concave down. Write one sentence explaining how you found these intervals. (d) List all inflection points off(x). Write one sentence explaining how you found these points. (e) Sketch a graph of the functionf(x).
(a) Give the intervals where f(x) is increasing and the intervals where f(x) is decreasing. Write one sentence explaining how you found these intervals.
(b) List all relative maximum and minimum points. Write one sentence explaining how you found and classified these points.
(c) Give the intervals where f(x) is concave up and the intervals where f(x) is concave down. Write one sentence explaining how you found these intervals.
(d) List all inflection points off(x). Write one sentence explaining how you found these points.
(e) Sketch a graph of the functionf(x).
Transcribed Image Text:x² + 12
f (x):
2x +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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