Find the critical numbers and the open intervals on which the function is increasing or decreasing. Use a graphing utility to verityyour results.STEP 1:STEP 2:y = x³- 27x+1Begin by finding the derivative of y.y'Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =STEP 3:Test the intervals to determine the open intervals on which the function is increasing or decreasing. (Enter youranswers using interval notation.)increasingdecreasing

Step 1: Derivative of yThe derivative of the function y = x3−27x+1 is:y ′ =3x2 − 27 Step 2: Critical…

Answered: Find the critical numbers and the open…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 15CT

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Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
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Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
The pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price, p , in dollars/pound(lb.) is given by q(p) = 100e7.5-1.5p1. Express the Revenue function in terms of p and then find both the first and second derivatives of the revenue function. Type each of these in your text box, using appropriate standard mathematical formatting notation (like that shown above) in Excel. 2. Use Excel over an interval of [0, 6] in increments of .25 to create values for all 3 of your functions from part 1. This is hard! You should be getting the beginning values shown on the next page. Keep at it until you do!! You must create these values by typing in and using the correct formulas. 3. Use Excel to determine exactly where there are any Maximum and/or Minimum values for Revenue. In your text box, explain fully and completely how you determine where to look, and how you know from the First Derivative Test that you have a maximum or a minimum value. 4. Write a…
5x Use the derivative to find where the function is increasing y = X+1

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