and y intercepts, local or absolute maximum andontal asymptotes where appropriate.%3D=(x)f (s)-4 3 2 -12.3D2s BOTH graphically and algehraically

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Answered: and y intercepts, local or absolute…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

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g(x)=-x3+3x odd, even or neither ther eis a locl minimum of -2 at -1 deermine the local maximum
The figure shows the graph of y = f(x) and its two vertical asymptotes. Use the graph to what is the relative maximum and where does it occur?
7. Determine values of a, b, and c such that the graph of y = ax³ +bx² + c has a local extremum at (2, 11) and a point of inflection at (1, 5).
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2.(17) The graph of y= - 6a3 4 97 - 8 223 4. R has a horizontal asymptote with equation (enter the equation of the horizontal asymptote)
Find the local and global extrema for the graph of ƒ(x) = x3 – 6x2. a.There is no local or global extrema. b.The local and global maximum is 0 at x = 0. The local minimum is –32 at x = 4. There is no global minimum. c.The local maximum is 0 at x = 0. The local minimum is –32 at x = 4. There is no global maximum or minimum d.
1.Let f(x)= (200x-500) /(x+400) Find horizontal and vertical asymptotes, and zeros and sketch the function 2 If .f(6)=10.f’(6)=0 f”(6)= -2 describe the behavior of f(x) at x=6 3.a.The price and demand of a clock radio is related by x=4000-50p.(x=# sold, p=price) Find the revenue as a function of x and find the x to maximize it.Hint:first solve for p. b) if fixed cost is 3000 and variable cost is 30x Find total cost. Use this to find total profit and maximize it. 4. If revenue R(x)=-0.02x2+3x+3, maximize R(x) and AR(x) if AR(x) is average revenue 5.Calculate d/dx(ln(sqrt(x2 +3x-2)) using the properties of logarithms to simplify 6.Calculate d/dx( exp( x2-3x+2) 7.if x2 +xy- y2 =4x find dy/dx and dx/dy (see the notes for the last part) 8.If V=k r3, and V=4 when r=2 if dr/dt =2, find dV/dt 9.a.Ifp=price and q=quantity, let q=20-3p find the elasticity nu for p=5. Find that p where elasticity=1? b. Maximize revenue

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and y intercepts, local or absolute maximum and ontal asymptotes where appropriate. %3D =(x)f (s) -4 3 2 -1 2. 3D2 s BOTH graphically and algehraically