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4. For the following function, determine all the intercepts, equation of all asymptotes, and the coordinate of any hole. f(x) = 5x³-12x²+x+6 3x3-11x2+12x-4

4. For the following function, determine all the intercepts, equation of all asymptotes, and the coordinate of any hole. f(x) = 5x³-12x²+x+6 3x3-11x2+12x-4

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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4. For the following function, determine all the intercepts, equation of all asymptotes, and the coordinate of any hole. f(x)= 5x3-12x²+x+6 3x3-11x² +12x-4 Communication and Application 5. Given F(x) = = 6 marks) (2x−1)(x² −4) find: x²-3x+2 > a. the domain b. the coordinate of any holes c. the x and y intercepts d. the equation of all asymptotes e. the intervals where f(x)>0 f. Sketch and label the graph. 10 Marks)
Transcribed Image Text:4. For the following function, determine all the intercepts, equation of all asymptotes, and the coordinate of any hole. f(x)= 5x3-12x²+x+6 3x3-11x² +12x-4 Communication and Application 5. Given F(x) = = 6 marks) (2x−1)(x² −4) find: x²-3x+2 > a. the domain b. the coordinate of any holes c. the x and y intercepts d. the equation of all asymptotes e. the intervals where f(x)>0 f. Sketch and label the graph. 10 Marks)
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