12 terms

Increasing/Decreasing Behavior of 12 Basic Functions

Find the increasing/decreasing behavior of the 12 Basic Functions
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f(x) = x
Increasing on (-∞,∞), never decreasing
g(x)=1/x
Never increasing, decreasing on (-∞,0) ∪(0,∞)
h(x)=ln x
Increasing on (0,∞), never decreasing
k(x)=√x
Increasing on [0,∞), never decreasing
p(x) = x²
Increasing on (0,∞), decreasing on (-∞,0)
q(x) = x³
Increasing on (-∞,∞), never decreasing
r(x)= |x|
Increasing on (0,∞), decreasing on (-∞,0)
w(x)=e^x
Increasing on (-∞,∞), never decreasing
y(x)= int(x)
Increasing on (-∞,∞), never decreasing
d(x) = cos x
Increases and decreases alternately
m(x) = sin x
Increases and decreases alternately
v(x) = 1/(1+e^-x)
Increasing on (-∞,∞), never decreasing