In parts (a) to (f), use the following graph, Find the intercepts Based on the graph, tell whether the graph is symmetric with respect to the x- axis, the y- axis, and/or the origin. Based on the graph, tell whether the function is even, odd, or neither. List the interval on which f is decreasing. List the number, if any, at which f has a local maximum . What are the local maximum values? List the number, if any, at which f has a local minimum . What are the local minimum values?
In parts (a) to (f), use the following graph, Find the intercepts Based on the graph, tell whether the graph is symmetric with respect to the x- axis, the y- axis, and/or the origin. Based on the graph, tell whether the function is even, odd, or neither. List the interval on which f is decreasing. List the number, if any, at which f has a local maximum . What are the local maximum values? List the number, if any, at which f has a local minimum . What are the local minimum values?
Solution Summary: The author explains that the graph is neither symmetric with respect to the x -axis, y, or the origin.
Based on the graph, tell whether the graph is symmetric with respect to the x- axis, the y- axis, and/or the origin.
Based on the graph, tell whether the function is even, odd, or neither.
List the interval on which
f
is decreasing.
List the number, if any, at which
f
has a local maximum. What are the local maximum values?
List the number, if any, at which
f
has a local minimum. What are the local minimum values?
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 .
University Calculus: Early Transcendentals (4th Edition)
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