Chapter 1.1, Problem 45AYU

(a)

To determine

The value of $f\left(0\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.

(b)

To determine

The value of $f\left(1\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.

(c)

To determine

The value of $f\left(-1\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.

(d)

To determine

The value of $f\left(-x\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.

(e)

To determine

The value of $-f\left(x\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.

(f)

To determine

The value of $f\left(x+1\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.

(g)

To determine

The value of $f\left(2x\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.

(h)

To determine

The value of $f\left(x+h\right)$ for the function $f\left(x\right)=\frac{x}{x^2+1}$.