12 terms

Find the increasing/decreasing behavior of the 12 Basic Functions

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