Consider the function below. (If you need to use - or , enter -INFINITY or INFIN

Question

Consider the function below. (If you need to use - or , enter -INFINITY or INFINITY.)
f(x)=x^2/x^2-16

(a) Find the vertical and horizontal asymptotes.
x =

(smaller value)
x =

(larger value)
y =

(b) Find the intervals where the function is increasing. (Enter the interval that contains smaller numbers first.)


Find the intervals where the function is decreasing. (Enter the interval that contains smaller numbers first.)
( , ) ( , )

(c) Find the local maximum value.


(d) Find the intervals where the function is concave up. (Enter the interval that contains smaller numbers first.)
( , ) ( , )

Find the interval where the function is concave down.
( , )

Explanation / Answer

(a) Find the vertical and horizontal asymptotes. x =-4 (smaller value) x =4 (larger value) y =0 (b) Find the intervals where the function is increasing. (Enter the interval that contains smaller numbers first.) (-4,4) Find the intervals where the function is decreasing. (Enter the interval that contains smaller numbers first.) ( -infinity,-4 ) (4 ,infinity ) (c) Find the local maximum value. none (d) Find the intervals where the function is concave up. (Enter the interval that contains smaller numbers first.) ( -infinity,-4 ) (4 ,infinity ) Find the interval where the function is concave down. ( -4,4 )

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