Find all local extreme values of f(c)12 – 12x – 90.The FIRST local extreme value, moving from left to right on the graph, is a Select an answer vatSelect an answerminimummaximumThe SECOND extreme value, moving from left to right on the graph, is a Select an answer vat

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Answered: value, moving from left to right on the…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 4TI: Graph the function f(x)=x36x215x+20 to estimate the local extrema of the function. Use these to...

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Graph the function f(x)=x36x215x+20 to estimate the local extrema of the function. Use these to determine the intervals on which the function is increasing and decreasing.
(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
Find all local extreme values of f(x)=−23x^3+4x^2−6x−40The FIRST local extreme value, moving from left to right on the graph, is r maximum or minimum???? at ??????The SECOND extreme value, moving from left to right on the graph, is a minimum or maximum ?????? at ????????
Find all local extreme values of f(x)=−23x3+4x2+20f(x)=-23x3+4x2+20. The FIRST local extreme value, moving from left to right on the graph, is a at . The SECOND extreme value, moving from left to right on the graph, is a at .
When a species of pigs is introduced onto an island, its population increases 15% each year. This population t years after introduction is given by P = k * a^t where k and a are constants and t is greater than or equal to 0 what is the value of a? use the graph below to help solve
Use the graph (see attached) of y = f(x) to solve the below; a. What is f(4) - f(-3)? b. What is the domain of f ? c. What is the range of f ? d. On which interval or intervals is f increasing? e. On which interval or intervals is f decreasing? f. For what number does f have a relative maximum? What is the relative maximum? g. For what number does f have a relative minimum? What is the relative minimum? h. What are the x-intercepts? i. What is the y-intercept?
Sales of a new model of compact disc player are approximated by the function S(x) = 1000 - 800e-x, where S(x) is in appropriate units and x represents the number of years the disc player has been on the market.(a) Find the sales during year 0.(b) In how many years will sales reach 500 units?(c) Will sales ever reach 1000 units?(d) Is there a limit on sales for this product? If so, what is it?
(a) Suppose we shift the graph of f vertically downwards by h units such that the maximum turning points (vertices) of the resulting graph lie one unit below the x-axis. What is the value of h? (b) Suppose we shift the graph of g vertically upwards by l units such that the part of the graph of g that lies below the x-axis results in touching the x-axis. What is the value of l?
A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the comet after x days, for x in the interval 0 to 42 days, is given by g(x)=200,000csc(π42x). a. Select the graph of g(x) on the interval [0,49]. b. Evaluate g(7). Enter the exact answer. g(7)= c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? The minimum distance between the comet and Earth is km which is the Click for List . It occurs at days. d. Find and discuss the meaning of any vertical asymptotes on the interval [0,49]. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter. x=
Find the x- and y-intercepts of the graph of the function f(x)=−2|x+5|+2. Enter your answers as points, (a,b). Enter the x-intercepts in order of increasing x-value. If there are no x-intercepts, enter NA in both answer areas.
Suppose that the function y = f(x) is increasing on the interval [- 1, 5].(a) Over what interval is the graph of y = f(x + 2) increasing?(b) Over what interval is the graph of y = f(x - 5) increasing?(c) What can be said about the graph of y = - f(x)?(d) What can be said about the graph of y = f( - x)?
A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the comet after x days, for x in the interval 0 to 24 days, is given by g(x)=350,000csc(π24x). a. Select the graph of g(x) on the interval [0,28]. b. Evaluate g(4). Enter the exact answer. g(4)= c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? The minimum distance between the comet and Earth is km which is the Click for List . It occurs at days. d. Find and discuss the meaning of any vertical asymptotes on the interval [0,28]. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter. x= At the vertical asymptotes the comet is

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value, moving from left to right on the graph, is a Select an answer v Select an answer minimum maximum