Find the interval(s) where the function f(x) = x 3 + 3x 2 is increasing and decreasing.

Q: 8-4 Identify all the points of discontinuity of the function ()%D 4)/(4x3-x)]. Classify each type of…

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Q: Consider f(x) = 3x4 −16x3 +24x2 −9. sketch the function

A: We have to sketch the given function.

Q: Identify the end behavior of the function f(x)=-x° + 3x² +x² – 3x to the left and to the right…

A: Given, f(x)= -x⁶+3x²+x²-3x

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2>x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

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: Is the function g(x) = x2 one-to-one?

A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000…

A: The elevation of a valley above sea level in modeled by the function,…

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

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