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Which function does not classify as a polynomial? a) y=-3 b) 5x^1/2 c) y=2x^2 -1 d) -2x^7

Which function does not classify as a polynomial? a) y=-3 b) 5x^1/2 c) y=2x^2 -1 d) -2x^7

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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Which function does not classify as a polynomial? 

a) y=-3   b) 5x^1/2  c) y=2x^2 -1 d) -2x^7

10. For some cubic polynomial p(x), p)-p(-)-Dp(-1)-0. Write an equation for the family %3D of this function in factored form, where all coefficients are integers. b) Write the equation for the member of the family that passes through (1, -2). 11. Determine whether each function is even or odd or neither (use any method to show or explain) a) y= 2r-5x-3x-1 b) y =x - 2r-3 PART C: COMMUNICATION 12. Provide an equation of a function that is NOTa polynomial, and explain why it is not a polynomial function. Explanation: 13. How can you determine the end behaviour of a polynomial function?
Transcribed Image Text:10. For some cubic polynomial p(x), p)-p(-)-Dp(-1)-0. Write an equation for the family %3D of this function in factored form, where all coefficients are integers. b) Write the equation for the member of the family that passes through (1, -2). 11. Determine whether each function is even or odd or neither (use any method to show or explain) a) y= 2r-5x-3x-1 b) y =x - 2r-3 PART C: COMMUNICATION 12. Provide an equation of a function that is NOTa polynomial, and explain why it is not a polynomial function. Explanation: 13. How can you determine the end behaviour of a polynomial function?
The function flxr) ar'+ br + er-8 has zeros at x -1 and x 2 and passes through (1,-2). Find the remaining zero and provide a sketch of the cubic function. 14. 15. If m, n, and 1 are non-zero real roots of the equation x- mx² + nx-1 = 0, then find the sum of the roots of the equation.
Transcribed Image Text:The function flxr) ar'+ br + er-8 has zeros at x -1 and x 2 and passes through (1,-2). Find the remaining zero and provide a sketch of the cubic function. 14. 15. If m, n, and 1 are non-zero real roots of the equation x- mx² + nx-1 = 0, then find the sum of the roots of the equation.
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