Question 1
What defines a relation as a function?
Question 2
Determine the domain of $f(x)=\sqrt{\frac{x-1}{x+2}}$.
Question 3
What is the range of $f(x)=\frac{4}{x-1}$?
Question 4
For the piecewise function $f(x)=\begin{cases}2x+3,&x\le1,\x^2,&x>1,\end{cases}$ what is the range?
Question 5
Simplify the difference quotient $\dfrac{f(a+h)-f(a)}{h}$ for $f(x)=2x^3 - x$.