Write an equation of a cubic function f(x), with zeros at -5, 0, and 2, and end behaviour from second to fourth quadrant The maximum number of x-intercepts you can expect the function f(x) = x^4 -2x^3 + 3x^2 -8x+1, to have is: State the remainder when (x^3 -7x + 9) is divided by (x-2) Does the function f(x) -5x^3+1 have even, odd, or no symmetry?State the horizontal and vertical asymptotes for the function: g(x) = 2x^2 + 1/ 3x^2 + 7x -6 = 2x^2 + 1/ (x+3) (3x-2)State the exact value of sin (5π/6)Give the period for the function y=2sin (3(x-π/4))Express cos(3π/4) as a ratio of the related acute angle π/4Use a compound angle formula to calculate the exact value of sin (5π/18) cos (π/9) -cos (5π/18) sin (π/9) State the inverse of the function: y=5^x Rewrite in exponential form logx = y=zSolve for x. State the exact value 2^x = 7, these are all apart of one question section so answer them all pls and ty

A cubic function has zeros and and the end behavior from the second to fourth quadrant.The aim is…

Answered: Write an equation of a cubic function…

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Write an equation of a cubic function f(x), with zeros at -5, 0, and 2, and end behaviour from second to fourth quadrant
The maximum number of x-intercepts you can expect the function f(x) = x^4 -2x^3 + 3x^2 -8x+1, to have is:
State the remainder when (x^3 -7x + 9) is divided by (x-2)
Does the function f(x) -5x^3+1 have even, odd, or no symmetry?
State the horizontal and vertical asymptotes for the function: g(x) = 2x^2 + 1/ 3x^2 + 7x -6 = 2x^2 + 1/ (x+3) (3x-2)
State the exact value of sin (5π/6)
Give the period for the function y=2sin (3(x-π/4))
Express cos(3π/4) as a ratio of the related acute angle π/4
Use a compound angle formula to calculate the exact value of sin (5π/18) cos (π/9) -cos (5π/18) sin (π/9)
State the inverse of the function: y=5^x
Rewrite in exponential form logx = y=z
Solve for x. State the exact value 2^x = 7, these are all apart of one question section so answer them all pls and ty