Graphing functions

Practice 5 items →

A graph is a set of answers; read it instead of recomputing. Students identify domain, range, intercepts, intervals of increase and decrease, extrema, end behavior, and average rate of change, for piecewise and step functions too.

Specification · for a parent or teacher

Part no.: function-features
Course: High School Math 1 · Unit 11
Realm: Change
Difficulty: 4 of 4 — Grade 7 / Math 1 core. Structure, models, proofs on the grid.
Qty: 5 items

Part no. is the node's id; the realm is the kind of math; qty is how many practice items it carries.

Students can

domain, range, intercepts, sign charts, increase/decrease, extrema, end behavior, average rate of change $\frac{f(b)-f(a)}{b-a}$ ; piecewise and step.

Ready when

from a sketched piecewise graph they answer six of those questions without an equation.

Formulas

Average rate of change

\frac{f(b) - f(a)}{b - a}

Watch for

“increasing” as “positive”; average rate of change as $f(b)-f(a)$ .

Before · requires

Relations and functionsfunction-foundations · Math 1
Quadratic equations and functionsquadratics-parabolas · Math 1

After · used by

Comparing functionscomparing-function-families · Math 1

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