AikawaAisyah2438
03.07.2019 •
Mathematics
Which graph represents the function f(x)=x4+4x3−12x2−32x+64?
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Ответ:
The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive
So as x approaches infinity then y approaches infinity
as x approaches -infinity then y approaches infinity
The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.
Now we check the x intercepts of the first graph
x intercepts of first graph is -4 and 2
Plug in -4 for x in f(x) and check whether we get 0
Now plug in 2 for x and check
So -4 and 2 are the x intercepts that satisfies f(x)
Hence first option is the graph of
Ответ:
The function
has a derivative
The derivative of this function is zero when
The derivative function is negative on the left side of -4 and positive on the right side, it is also negative on the right hand side of -1, and positive on the right hand side of positive 2. From this information we can gather that the graph of f(x) has a minima at x=-4, a maxima at x=-1 and a minima at x=-2.
The only graph that fits this description from the given ones is the first graph
Ответ:
Sickly and drunk hope it helps
Explanation: