542-3-2-1245-4(a) Select the name of the basic function in the graph.Select an answer(b) Select the equation of the basic function in the graph.O f(x) = x?O f(x) = VTO f(x) = x³O f(x)O f(x) :O f(x) = xO f(x) = |æ|1O f(x)(c) Give the domain of the function in the graph.(d) Give the range of the function in the graph.In parts (e) to (h) enter DNE for those which do not apply.(e) Identify any open interval(s) on which the function is increasing. Separate multiple intervals with unions.(f) Identify any open interval(s) on which the function is decreasing. Separate multiple intervals with unions(g) List any point(s) at which the function acquires a relative maximum.(h) List any point(s) at which the function acquires a relative minimum.

This is the problem of function. Based on the graph and characteristics of the function we will…

Answered: (a) Select the name of the basic…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.2: Graphs

Problem 23E: Magazine Circulation: The circulation C of a certain magazine as a function of time t is given by...

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Magazine Circulation: The circulation C of a certain magazine as a function of time t is given by the formula C=5.20.1+0.3t Here C is measured in thousands, and t is measured in years since the beginning of 2006, when the magazine was started. a. Make a graph of C versus t covering the first 6 years of the magazines existence. b. Express using functional notation the circulation of the magazine 18 months after it was started, and then find that value. c. Over what time interval is the graph of C concave up? Explain your answer in practical terms. d. At what time was the circulation increasing the fastest?. e. Determine the limiting value for C. Explain your answer in practical terms.
Geometry You want to make an open box from a rectangular piece of material, 15 centimeters by 9 centimeters, by cutting equal squares from the corners and turning up the sides. (a) Let x represent the side length of each of the squares removed. Draw a diagram showing the squares removed from the original piece of material and the resulting dimensions of the open box. (b) Use the diagram to write the volume V of the box as a function of x. Determine the domain of the function. (c) Sketch the graph of the function and approximate the dimensions of the box that yield a maximum volume. (d) Find values of x such that V=56. Which of these values is a physical impossibility in the construction of the box? Explain.

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(a) Select the name of the basic function in the graph. Select an answer (b) Select the equation of the basic function in the graph. O (2) = z O f(2) = va O f(2) =z O f(2) = |z| O (2) = 2 O f(z) - Va %3D O f(a) - 1 O (2) = (c) Give the domain of the function in the graph.