Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). f(x) = 4x^4 - 24x^2
What is the domain of the function?
The domain is (Type your answer in interval notation. Use a comma to separate answers as needed.)
What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is y =
B. There is no y-intercept.
What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The x-intercept(s) is/are x =
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
B. There is no x-intercept.
What is/are the local maximum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local maximum/a is/are at x =
(Simplify your answer. Type an exact answer using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. There is no local maximum.
What is/are the local minimum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The local minimum/a is/are at x =
(Simplify your answer. Type an exact answer using radicals as needed. Use a comma to separate answers as needed.)
B. There is no local minimum.
What are the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The inflection points are at x =
(Simplify your answer. Type an exact answer using radicals as needed. Use a comma to separate answers as needed.)
B. There are no inflection points.
On what interval(s) is f increasing or decreasing?
(Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.)
A. f is increasing on and f is decreasing on
B. f is never increasing; f is decreasing on
C. f is never decreasing; f is increasing on