In this resource, you investigated different ways to determine the solutions to quadratic equations using tables of values.

In doing so, you also compared functions to their related equations.

Functions

y = x2 or f(x) = x2

Functions have zeros, or x‑values, that generate function values equal to 0.

Equations

x2 = 0

Equations have roots or solutions, or x‑values, that can be substituted into the quadratic polynomial in order to generate a value equal to 0.

In a table of values, solutions to related equations can be found by locating rows containing ordered pairs where the function value, or y-value, is equal to 0. In some cases, the solution must be estimated.

comparing functions and related equations