Asked by kawn
analyzethe graph of the function
Find the x- and y-intercepts.
(b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.
(c) Find the maximum number of turning points.
(d) Graph the function
Please show all of your work.
f(x)=-(x-1)(x+1)^3
Find the x- and y-intercepts.
(b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.
(c) Find the maximum number of turning points.
(d) Graph the function
Please show all of your work.
f(x)=-(x-1)(x+1)^3
Answers
Answered by
Steve
y-intercepts (when x=0): (0,1)
x-intercepts: (-1,0) and (1,0)
end behavior: y decreases forever; approaches y = -x^4
Turning points: f is of degree 4, so a max of 3 turning points
In fact, it only has one at x = 1/2
x-intercepts: (-1,0) and (1,0)
end behavior: y decreases forever; approaches y = -x^4
Turning points: f is of degree 4, so a max of 3 turning points
In fact, it only has one at x = 1/2
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