Relations and functions

Practice 5 items →

A function assigns each input exactly one output, and f(x) is a number. Students find domain and range, apply the vertical-line test, evaluate f(a) and solve f(x) = k, distinguish discrete from continuous, and use interval notation.

Specification · for a parent or teacher

Part no.: function-foundations
Course: High School Math 1 · Unit 7
Realm: Change
Difficulty: 3 of 4 — Grade 6–7 core. Multi-step, first symbolic work.
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 and range; vertical-line test; evaluate $f(a)$ and solve $f(x)=k$ ; discrete vs continuous; interval notation.

Ready when

from a graph they give domain/range in interval notation and three points where $f(x)=0$ .

Formulas

Function notation

f(a) = \text{the output of } f \text{ at } a

Watch for

$f(x)=x+2$ at $x=3$ written $f(3)=3x+2$ ; domain of $\sqrt{x-1}$ as all reals.

Before · requires

Linear equations and inequalities (two variables)linear-forms-half-planes · Math 1
Proportionsdirect-inverse-proportion · Math 7

After · used by

Quadratic equations and functionsquadratics-parabolas · Math 1
Exponential functionsexponential-growth-decay · Math 1
Graphing functionsfunction-features · Math 1
Patterns, sequences, and seriesarithmetic-geometric-sequences · Math 1

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