the function f(x) = x²-3x² - 9x Find the intercepts. Show work. Round to two decimal places if necessary Find the critical numbers of f. Show work using calculus. Find the open intervals where the function is increasing or decreasing. Show work using calculus.
the function f(x) = x²-3x² - 9x Find the intercepts. Show work. Round to two decimal places if necessary Find the critical numbers of f. Show work using calculus. Find the open intervals where the function is increasing or decreasing. Show work using calculus.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:10. For the function f(x)= x3 - 3x² - 9x
(a) Find the intercepts. Show work. Round to two decimal places if necessary
(b) Find the critical numbers off. Show work using calculus.
(c) Find the open intervals where the function is increasing or decreasing. Show work using
calculus.
(d) Identify all relative extrema. Show work using calculus.
(e) Find the open intervals where the function is concave up and down. Show work using
calculus.
(f) Find the points of inflection of the function. Show work using calculus.
(g) Draw a sketch of the function. Label and scale the axes.
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