2) f(x) = 3(-x + 1)ª + 2 Domain Range Zeros x-intercept y-intercept Continuity Increase Interval Decrease Interval x= -2, find f(x) x = 3, find f(x) Maximum Minimum -2 -1 as x -00 as x +0 Vertical Asymptote Horizontal Asymptote
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- 2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?Find any local maximum & local minimum of f(x)=-0.4x3-0.6x2+3x-4 on the interval (-6,4)At what x-value is the global minimum for f(x)=x2−4x+3 within the interval 0≤x≤5?
- Use limits to determine the equations for all horizontal asymptote. y = (1 - x2)/( x2 + 1)Let f(x)=2x^2−5x+2 / 3x^2+11x+6This function has:1) A y-intercept at the point =2) x-intercepts at the point(s) =3) Vertical asymptotes at x = 4) Horizontal asymptote at y =limit as x approaches infinity of (1-x)/(3n+5)
- On the interval 2 < x < 4, there is a relative… •maximum •minimum •increasing •decreasing •constantLimit x approaches to + infinity 3x+1 ÷ 2x-5In the function: f(x)=(12−3x)e^x What are the critical numbers of the function? When is the function increasing and decreasing in interval notation? What are the x-coordinates of all local minimums and maximums?