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 .
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
use Integration by Parts to derive 12.6.1
Chapter 4 Solutions
Mylab Math With Pearson Etext -- Standalone Access Card -- For Precalculus (11th Edition)
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