Let f(x) = x^2/x^2-4, (A) the domain of f(x) = ... (Need help solving this first one so I have a basis to help solve problems similar to this)

Question

Let f(x) = x^2/x^2-4

(A) the domain of f(x) =

(B) Which of these is the correct answer:

f(x) is symmetric with respect to the y-axis.

f(x) is symmetric with respect to the x-axis.

f(x) is symmetric with respect to the origin.

(C) Find f '(x).

(D) Find critical points of f(x).

(E) Draw the sign graph of f '(x)

(F) Find the intervals of increase/decrease of f(x).

(G) Identify the local extreme values of f(x).

(H) Find f ''(𝒙).

(I) Draw the sign graph of f ''(𝒙).

(J) Find the intervals of concave up/concave down of f(x).

(k) Find the inflection points of f(x).

(L) Find vertical/horizontal asymptotes of f(x).

(M) Find x- and y-intercepts of f(x).

(N) Use your work in parts (A) through (M) to sketch a graph of ƒ(x).

Answer 1

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