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Create a polynomial function of the form: f(x) = a (bx + e)(cx +g)²(dx + h)³, with the following conditions: i) a,b,c,d,e,g,h are non-zero integers. the three factors must be different iii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.

Create a polynomial function of the form: f(x) = a (bx + e)(cx +g)²(dx + h)³, with the following conditions: i) a,b,c,d,e,g,h are non-zero integers. the three factors must be different iii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.

Advanced Engineering Mathematics
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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Create a polynomial function of the form: f(x) = a (bx + e)(cx +g)²(dx + h)³, with the following conditions: i) a,b,c,d,e,g,h are non-zero integers. ii) the three factors must be different iii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.
Transcribed Image Text:Create a polynomial function of the form: f(x) = a (bx + e)(cx +g)²(dx + h)³, with the following conditions: i) a,b,c,d,e,g,h are non-zero integers. ii) the three factors must be different iii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.
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