Figuring out the domain and range from a function's graph is pretty simple once you get the hang of it! Here’s how I do it:

Domain

• What it Means: The domain includes all the possible $x$-values that the function can use.
• How to Find It: Look at how far the graph goes side to side.
  • If it stretches left and right with no end, the domain is $(-\infty, \infty)$.
  • If there are blocks or gaps (like holes or vertical lines where it can’t go), make note of those.

Range

• What it Means: The range includes all the possible $y$-values that the function can give out.
• How to Find It: Look at how high and low the graph goes.
  • If it stretches up and down without limits, the range is also $(-\infty, \infty)$.
  • Again, look for any gaps or highest/lowest points that might stop the $y$ values from reaching certain numbers.

With a little practice, it really becomes easy!