Graphs of functions with up to three parts to their domains (AQA GCSE Further Maths): Flashcards

Function with different rules for different parts of its domain

Each x-value must belong to exactly one part of the domain

Endpoint is included (shown as filled circle on graph)

Endpoint is excluded (shown as empty circle on graph)

The point is included in the domain

The point is excluded from the domain

$f(x) = k$, creates horizontal line segments, gradient zero

$f(x) = mx + c$ with constant gradient $m$

$f(x) = ax^2 + bx + c$, creates curved parabolic segments

When $a > 0$

When $a < 0$

Area under the velocity-time curve

$\frac{\text{change in speed}}{\text{change in time}}$

No, they can have jumps or breaks at boundary points