-
LINEAR
- DOMAIN: All real numbers
- RANGE: All real numbers
- OTHER CHARACTERISTICS: Constant rate of change (slope); graph is a straight line; one x-intercept and one y-intercept (unless horizontal/vertical); symmetric about origin if odd function.
-
QUADRATIC
- DOMAIN: All real numbers
- RANGE: $y \geq 0$ (for $f(x) = x^2$)
- OTHER CHARACTERISTICS: Graph is a parabola; has a vertex (minimum or maximum point); axis of symmetry; can have 0, 1, or 2 x-intercepts; always has one y-intercept.
-
EXPONENTIAL
- DOMAIN: All real numbers
- RANGE: $y > 0$ (for $f(x) = 2^x$)
- OTHER CHARACTERISTICS: Rapid growth (or decay); asymptotic behavior (approaches but never touches x-axis); always passes through (0,1) for base > 0; no x-intercept; one y-intercept.
Parent Tip: Review the logic above to help your child master the concept of comparing linear quadratic and exponential worksheet.
