For Exercises 45-52, determine if the graph can represent a polynomial function. If so. Assume that the end behaviour and all turning points are represented in the graph. a. Determine the minimum degree of the polynomial. b. Determine whether the leading coefficient is positive or negative based on the end behaviour and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine if their multiplicities are even or odd.
For Exercises 45-52, determine if the graph can represent a polynomial function. If so. Assume that the end behaviour and all turning points are represented in the graph. a. Determine the minimum degree of the polynomial. b. Determine whether the leading coefficient is positive or negative based on the end behaviour and whether the degree of the polynomial is odd or even. c. Approximate the real zeros of the function, and determine if their multiplicities are even or odd.
Solution Summary: The author explains how to determine if the graph represents a polynomial function, assuming the end behaviour and all turning points are represented.
For Exercises 45-52, determine if the graph can represent a polynomial function. If so. Assume that the end behaviour and all turning points are represented in the graph.
a. Determine the minimum degree of the polynomial.
b. Determine whether the leading coefficient is positive or negative based on the end behaviour and whether the degree of the polynomial is odd or even.
c. Approximate the real zeros of the function, and determine if their multiplicities are even or odd.
#3 Find the derivative y' = of the following functions, using the derivative rules:
dx
a) y-Cos 6x b) y=x-Sin4x c) y=x-Cos3x d) y=x-R CD-X:-:TCH :D:D:D - Sin
f)
Sin(x²) (9) Tan (x³)
mate
hat is the largest area that can be en
18 For the function y=x³-3x² - 1, use derivatives to:
(a) determine the intervals of increase and decrease.
(b) determine the local (relative) maxima and minima.
(c) determine the intervals of concavity.
(d) determine the points of inflection.
b)
(e) sketch the graph with the above information indicated on the graph.
use L'Hopital Rule to evaluate the following.
a) 4x3 +10x2
23009׳-9
943-9
b) hm
3-84
хто бу+2
< xan
x-30650)
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