Recently published items

Determining the range of a function of the form $f = m|x| + a$.

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $f(nx)$.

Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.

Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x},\,x\neq0$.

Finding the inverse of a linear function $f(x)=mx+c$.

Finding the stationary point (maximum) of a quadratic equation in a contextualised problem. 

Calculating the rate of change of the temperature during a chemical reaction using the chain rule in a function of the form $T=ate^{-t}$, and finding the maximum temperature of the reaction.

Knowing the half-life of Carbon-14 and the initial mass of Carbon-14 when a tree was cut (a) write an expression that describes the relationship between the remaining mass and time, (b) calculate the remaining mass after $t$ years, and (c) given the remaining mass calculate how many years ago the tree was cut down. 

Solve linear equations with unkowns on both sides. Including brackets and fractions.

Knowing the doubling time of a population and the population on day $t$, calculate the initial population and the number of days required for the population to reach a threshold.