Question 1 Find the local extrema of the function f defined by f(x) =x3- 3x2- 9x, A f(-1)=5 local maximum; f(3) = - 27 local minimum (B) B f(-1) = 13 local maximum; f(3) = - 18 local minimum (c) f(-1) =5 local minimum; f(3) = - 18 local maximum (D f(-1) = - 13 local minimum; f(3) = - 27 local maximum

Q: Find f-1 if f (z) = iz + 1.

A:

Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: A ball is thrown upward of a 100 meter cliff with an intial velocity of 6 m/s. The function f(x) =…

A: Given: - A ball is thrown upward of a 100 meter cliff with an initial velocity of 6 m/s. The…

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

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Q: f(x) = x* + x³ – 2x² What is the domain of the function given above?

A: We have to find the domain of the given function

Q: lim(log(3x +1)) 2. 3 lim(sin (5x2+ 10) 3. *2

A:

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.