The functionf graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. To find a function value f(a) from the graph of f, we find the height of the graph above the x-axis at x = From the graph of f, we see that (3) = and (2) = The net change in f between x = 2 and x = 3 is

The functionf graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. To find a function value f(a) from the graph of f, we find the height of the graph above the x-axis at x = From the graph of f, we see that (3) = and (2) = The net change in f between x = 2 and x = 3 is

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.3: Getting Information From The Graph Of A Function

Problem 1E: The function f graphed below is defined by a polynomial expression of degree 4. Use the graph of...

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The function f graphed below is defined by a polynomial expression of degree 4. Use the graph of solve the exercises. To find a function value f(a) from the graph at f , we find the height of the graph above the x -axis x= . From the graph of f we see that f(3)= and f(1)= .The net change in f between x=1 and x=3 is f()f()= .
(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
The function f graphed below is defined by a polynomial equation of degree 4 .use the graph to solve the exercises. (a) if f is increasing on an interval then the y-values of the point on the graph _______ as the x-values increase. From the graph of f we see that f is increasing on the interval _______and ________. (b) If f is decreasing on an interval, then the y-values of the points on the graph_____ as the x-values increases. From the graph of f we see that f is decreasing on the interval_____ and______.
The function f graphed below is defines by a polynomial expression of degree 4. Use the graph to solve the exercises. (a) A function value f (a) is a local maximum value of f if f (a) is the____ value of f on some open interval containing a. From the graph of f we see that there are two local maximum values of f : One local Maximum is ______, and it occurs when x=2; The other local maximum is ______, and it occurs when x=_______. (b) The function value f (a) is a local minimum value of f if f (a) is the _____ value of f on some open interval containing a.From the graph of f we see that there is one local minimum value of f .The local minimum value is,______ and it occurs when x=______.
Writing an Equation The graph of a fourth-degree polynomial function y=fx is shown. The equation has 2i as zeros. Write an equation for f.
The function f graphed below is defined by a polynomial expression of degree 4. Use the graph of solve the exercises. The domain of the function f is all the _____-values of the points on the graph, and the range is all the corresponding_____-values. From the graph of f we see that the domain of f is the interval ________ and the range of f is the interval ________.
Revenue A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)=80x0.4x2, where the revenue R(x) is measured in dollars. What is the maximum revenue? and how many units should be manufactured to obtain this maximum?