Number 5 only Determine any critical points, point of inflection and trace the curve.1. y = 2x +3x - 12x +72. y=x*(2-x*)3. y=(1–x)*4. If f(x) = ax' +bx² , determine a and b so that the graph of f will have a point of inflection at (1,2). Supportyour answer graphically.5. If f(x) = ax + bx' +cx? + dx +e, determine a, b, c, d and e so that the graph of f will have a point ofinflection at (-1, 1), contain the origin, and be symmetric with respect to y-axis. Support your answergraphically.

5) Given: f(x)=ax4+bx3+cx2+dx+e As f(x) passes through origin (0,0) then substituting (0,0) in…

Answered: 5. If f(x) = ax* + bx' +cx² + dx +e,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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5. If f(x) = ax* + bx' +cx² + dx +e, determine a, b, c, d and e so that the graph of f will have a point of inflection at (-1, 1), contain the origin, and be symmetric with respect to y-axis. Support your answer graphically.