Where is this function decreasing?
2 Answers
(
Explanation:
This function is decreasing when the y-value decreases.
In interval notation this is written as so:
Dec(
The
The function also decreases at the end as x approaches positive infinity.
This function is decreasing in the intervals
Explanation:
A function
f(x)>f(a) for allx∈(a−ε,a)
f(x)<f(a) for allx∈(a,a+ε)
If the function has a well defined tangent at the point
In the given example, note that for any
Bonus
Given that the function has vertical asymptotes at
y=2(x−1)(x+1)=2x2−1
graph{2/(x^2-1) [-10, 10, -12, 12]}