8th Grade · Functions

Initial Value

8.F.A.2

Definition

The output of a function when the input is zero, representing the starting amount. It equals the y-intercept of a linear function.

Examples

  • In f(x) = 10x + 20, the initial value is 20 (the cost before any months).
  • It's the same as the y-value when x = 0 in a table, or the y-intercept on a graph.

Key rule

The initial value is the same as the y-intercept, b.

Memory hook

What you start with, before anything changes.