Chapter 1, Problem 15CRE

To determine

(a)

Whether the function $f\left(x\right)=3^{-x}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(b)

Whether the function $f\left(x\right)=\frac{1}{x^2\text{ + 1}}$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(c)

Whether the function $g\left(t\right)=t^2+t$ is an increasing function, decreasing function or neither increasing or decreasing.

To determine

(d)

Whether the function $g\left(t\right)=t^3+t$ is an increasing function, decreasing function or neither increasing or decreasing.