Math I · F-BF.1.a

Build a function from context by determining an explicit formula, recursive rule, or calculation process.

Build a function from context by determining an explicit formula, recursive rule, or calculation process.

Concept Functions
Domain Building Functions
Problem Types

Problem Templates In This Objective

15 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Build an explicit linear function from a starting value and constant rate

4 variants
Template 2

Build an explicit proportional function

4 variants
Template 3

Build a recursive arithmetic sequence model

4 variants
Template 4

Build an explicit arithmetic sequence model

4 variants
Template 5

Build an explicit exponential function from percent growth

4 variants
Template 6

Build a recursive geometric sequence model

4 variants
Template 7

Build a function rule from a table

4 variants
Template 8

Write a linear or exponential function from graph features using the initial value and the per-unit change

4 variants
Template 9

Build a piecewise function from a tiered context

4 variants
Template 10

Define a function from an ordered calculation process

4 variants
Template 11

Choose whether an explicit or recursive model is more useful

4 variants
Template 12

Build a function with a restricted domain

4 variants
Template 13

Build a linear function rule from a verbal comparison of input and output

4 variants
Template 14

Build a context function and evaluate it at a given input

4 variants
Template 15

Critique and correct a proposed function model

4 variants