Different types of functions have unique rules about where their inputs (domain) and outputs (range) can be:

1. Linear Functions:

   • Domain: You can use any real number.
   • Range: You can get any real number.

2. Quadratic Functions:

   • Domain: You can use any real number.
   • Range: The outputs start from a certain lowest point (k) and go up to infinity. This works for equations like $y = ax^2 + bx + c$ if $a$ is greater than zero.

3. Rational Functions:

   • Domain: You can use any real number except where the bottom number (denominator) equals zero.
   • Range: It varies based on specific horizontal lines (asymptotes), often shown as either $(-\infty, b)$ or $(b, \infty)$.

4. Exponential Functions:

   • Domain: You can use any real number.
   • Range: The outputs are greater than zero, but never equal zero.

5. Logarithmic Functions:

   • Domain: Only positive real numbers can be used.
   • Range: You can get any real number.

Knowing these details can help you guess how these functions behave when you look at their graphs.