Math III · F-IF.5

Relate a function's domain to its equation, graph, and context, especially when model choice matters.

Relate a function's domain to its equation, graph, and context, especially when model choice matters.

Concept Functions
Domain Interpreting Functions
Problem Types

Problem Templates In This Objective

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

Template 1

Find the domain of a rational function by excluding denominator zeros

4 variants
Template 2

Find the domain of a square root function by requiring the radicand to be nonnegative

4 variants
Template 3

Find the domain of a logarithmic function by requiring its argument to be positive

4 variants
Template 4

Choose the sensible domain of an exponential model from the context

4 variants
Template 5

Find the contextual domain of a real-world function model

4 variants
Template 6

Find the domain of a function from its graph

4 variants
Template 7

Match a domain restriction to the graph feature it creates

4 variants
Template 8

Separate mathematical and contextual domains

4 variants
Template 9

Find the range of a function on a restricted domain

4 variants
Template 10

Classify why an input is invalid

4 variants
Template 11

Write the domain in interval notation by excluding denominator zeros

4 variants
Template 12

Translate an algebraic domain restriction into context

4 variants
Template 13

Choose a realistic domain from quantity type and boundary

4 variants