Math II · F-IF.7.b

Graph square-root, cube-root, absolute-value, step, and piecewise-defined functions, showing key features by hand in simple cases and with technology when the functions are more complicated.

Graph square-root, cube-root, absolute-value, step, and piecewise-defined functions.

Branded illustration for Graph square-root, cube-root, absolute-value, step, and piecewise-defined functions, showing key features by hand in simple cases and with technology when the functions are more complicated.
Concept Functions
Domain Interpreting Functions
Problem Types

Problem Templates In This Objective

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

Template 1

Transform a fixed set of square-root parent points

4 variants
Template 2

Transform a fixed set of cube-root parent points

4 variants
Template 3

Derive and verify absolute-value graph features

4 variants
Template 4

Specify a step graph with exact boundary ownership

4 variants
Template 5

Specify piecewise-linear boundaries and continuity

4 variants
Template 6

Derive radical-function domain and range

4 variants
Template 7

Project a specified graph onto domain and range

4 variants
Template 8

Build an exact transformed-parent graph fingerprint

4 variants
Template 9

Write an absolute-value equation from a vertex, opening direction, and arm slope

4 variants
Template 10

Write a square-root equation from an endpoint, direction, and scale

4 variants
Template 11

Evaluate a piecewise-defined function at a given x-value

4 variants
Template 12

Classify step versus piecewise-linear behavior from evidence

4 variants
Template 13

Translate a context into an exact piecewise graph record

4 variants
Template 14

Identify a parent family and domain from invariant shape

4 variants