Further Modelling with Functions (Edexcel A-Level Mathematics): Flashcards

A function defined by different expressions over intervals.

$C(x) = 3$ if $0 < x ≤ 1$, $3 + 2(x - 1)$ if $x > 1$.

Using $P(t) = P_0 \cdot e^{rt}$ where $P_0$ is initial value.

$P = P_0 \cdot (1 + r)^t$, where $P_0$ is initial, $r$ is rate, $t$ is time.

It has the form $ax^2 + bx + c$, with a parabolic graph.

$h(t) = 5 + 10t - 4.9t^2$ for height over time.

Set $h(t) = 0$ and solve the quadratic equation.

They model situations with slow growth over time.

pH = $-\log[H^+]$, where $[H^+]$ is hydrogen ion concentration.

Set profit function's derivative to zero and solve.