CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
Find the domain of the function f(x) = x² – 1.
In interval form, the domain of f is (-∞, 0).
Find the domain of the function f(x)
x + 1
2 –
- x
-3
-2
-1
1
2
x 2
(-0, 2) U (2, ∞0)
3.
1. (a) Draw the graphs of the functions x and x in the plane. Then find all integers n > 2 such that
(0, 0) is an inflection point of the function f(x) = x".
(x + 1)®x³(x – 2)ª(x – 4)³ for all x. Find all x
(b) The second derivative f" of f is given by f"(x)
corresponding to inflection points of the graph of f.
(c) A polynomial function g has degree 18 (like the degree of f" in part (b)). What is the maximum
number of inflection points that the graph of g could possibly have? Explain your answer.
(d) From (a) - (c) we see that just because g"(c) = 0 does not mean that (c, g(c)) is an inflection point.
What additional property must exist for (c, g(c)) to necessarily be an inflection point?
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- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?arrow_forwardDetermine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.arrow_forwardFind the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.arrow_forward
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